Emmanuil Moiseevich Zhmud’ (1918-2007)

Emmanuil Moiseevich Zhmud’ (1918-2007)

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Datum:2008
Hauptverfasser: Favorov, S., Novikov, B., Vyshnevetskiy, A., Zholtkevich, G.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2008
Schriftenreihe:Algebra and Discrete Mathematics
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/153371
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Zitieren:Emmanuil Moiseevich Zhmud’ (1918-2007) / S. Favorov, B. Novikov, A. Vyshnevetskiy, G. Zholtkevich // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 130–135. — Бібліогр.: 52 назв. — англ.

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spelling irk-123456789-1533712019-06-15T01:25:43Z Emmanuil Moiseevich Zhmud’ (1918-2007) Favorov, S. Novikov, B. Vyshnevetskiy, A. Zholtkevich, G. 2008 Article Emmanuil Moiseevich Zhmud’ (1918-2007) / S. Favorov, B. Novikov, A. Vyshnevetskiy, G. Zholtkevich // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 130–135. — Бібліогр.: 52 назв. — англ. 1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/153371 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
format Article
author Favorov, S.
Novikov, B.
Vyshnevetskiy, A.
Zholtkevich, G.
spellingShingle Favorov, S.
Novikov, B.
Vyshnevetskiy, A.
Zholtkevich, G.
Emmanuil Moiseevich Zhmud’ (1918-2007)
Algebra and Discrete Mathematics
author_facet Favorov, S.
Novikov, B.
Vyshnevetskiy, A.
Zholtkevich, G.
author_sort Favorov, S.
title Emmanuil Moiseevich Zhmud’ (1918-2007)
title_short Emmanuil Moiseevich Zhmud’ (1918-2007)
title_full Emmanuil Moiseevich Zhmud’ (1918-2007)
title_fullStr Emmanuil Moiseevich Zhmud’ (1918-2007)
title_full_unstemmed Emmanuil Moiseevich Zhmud’ (1918-2007)
title_sort emmanuil moiseevich zhmud’ (1918-2007)
publisher Інститут прикладної математики і механіки НАН України
publishDate 2008
url http://dspace.nbuv.gov.ua/handle/123456789/153371
citation_txt Emmanuil Moiseevich Zhmud’ (1918-2007) / S. Favorov, B. Novikov, A. Vyshnevetskiy, G. Zholtkevich // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 130–135. — Бібліогр.: 52 назв. — англ.
series Algebra and Discrete Mathematics
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fulltext Jo u rn al A lg eb ra D is cr et e M at h . Algebra and Discrete Mathematics Number 2. (2008). pp. 130 – 135 c© Journal “Algebra and Discrete Mathematics” Emmanuil Moiseevich Zhmud’ (1918-2007) The future remarkable algebraist was born on 30th July 1918 in Dne- propetrovsk, however, all his conscious life is connected with Kharkov, the city where his parents moved to in 1922. The family of the boy was quite gifted in the field of music, his father and uncle sang perfectly, and his grandfather, who was a tailor, played the trumpet. Therefore, Em- manuil Moiseevich was attracted to music since childhood, and his piano playing gave admiration to all his listeners till the end of his life. The boy inherited his abilities in sciences from his mother, who was one of the best students of physico-mathematical faculty of Odessa Uni- versity. His choice in favor of sciences was largely influenced by his friendly relations with the future Nobel Prize winner, physicist Lev Lan- dau. However, having entered Faculty of Physics and Mathematics of Kharkov State University (KhSU), a student Emmanuil Zhmud’ realized that he most of all appreciated the mathematical part of physics. There- fore, he got a transfer to the mathematical department of the faculty. Jo u rn al A lg eb ra D is cr et e M at h . 131 At that period he started his scientific research under the supervision of Professor A. K. Sushkevich. At first he became interested in number theory, then geometry and finally the theory of finite groups, to which he devoted his life. In 1941 E. M. Zhmud’ graduated from KhSU, but the Great Patriotic War, that had just broken out, interrupted his further research in the field of mathematics for some time. From 1941 till 1946 Emmanuil Moiseevich Zhmud’ served in the Red Army. After demobilization he worked as a researcher at the Research Institute of Mathematics and Mechanics at KhSU and presented his PhD thesis “Non-unimodular transformations of square forms” in 1950. He started teaching mathematics at Kharkov Institute of Engineering and Economics in 1950. From 1958 till the early 1990s he worked at KhSU at the higher algebra department. At the mechanico-mathematical faculty E. M. Zhmud’ permanently taught both principal courses in higher algebra and number theory and special courses (theory of groups, theory of algebras, representations of finite groups, Galois theory, etc.). His lectures inspired love for algebra in many generations of mathematicians, who either became or did not become algebraists. The majority of students were allocated to the de- partment of algebra being influenced by his teaching. Together with Pro- fessor S. D. Berman he supervised the city algebraic seminar. A. Vejtsblit, A. Vyshnevetskiy, G. Kurinnoy, and L. Pronin were among his pupils. In 1972 E. M. Zhmud’ presented his doctoral thesis “Lattice-theoreti- cal properties of kernels of linear representations of finite groups”. The paper was highly evaluated by the official opponents – I. D. Ado, S. D. Ber- man, I. M. Grayev, and its author was unanimously given the doctoral degree in physical and mathematical sciences by the Scientific Council of Kazan University. However, the state policy of anti-Semitism flourishing at that period in the country caused the fact that the Higher Certifying Committee of USSR did not confirm the verdict of the Scientific Coun- cil. But this fact did not affect in any way the intensity of the talented algebraist’s creative research. E. M. Zhmud’s scientific activity never stopped during his entire life. After his retirement he wrote no less scientific papers than he did during his work at the university. His passion for mathematics was not just a professional call; it was the condition of his soul. The results obtained by him are distinguished by completeness and refinement. He was engaged in the research of projective representations, constructed the duality be- tween the kernels and antikernels of indecomposable representations of a group, discovered the criterion of existence of an exact representation of a finite group that decomposes into a given number of irreducible com- ponents, developed the theory of symplectic geometries on finite Abelian Jo u rn al A lg eb ra D is cr et e M at h .132 E. M. Zhmud’ groups, and described finite CM-groups. He was interested in zeros of characters of finite groups and the so-called connectivity relations on groups during the last years of his life. E. M. Zhmud’ is the author of more than fifty scientific papers in al- gebra, each of which made an essential contribution to science. In co- authorship with I. Berkovich he wrote the two-volume monograph “Char- acters of Finite Groups”, published by American Mathematical Society in 1999. Till his last days Emmanuil Moiseevich worked preparing the second edition of this monograph. Emmanuil Moiseevich was able to see beauty not only in mathematics. He had a subtle perception and understanding of classical music, and drew perfectly. Being fluent in French and German, he began to write his papers in English at a rather mature age, publishing them in prestigious international scientific journals. Creative work presented utmost happiness for Emmanuil Moiseevich, and he considered the ability to be engaged in it during his whole life as a great luck. Emmanuil Moiseevich passed away on 29th December 2007. We will always remember this wonderful and surprisingly modest person. S. Favorov, B.Novikov, A.Vyshnevetskiy, G. Zholtkevich. List of papers of E.M. Zhmud’ 1. Zhmud’ E. M. On integer transformations of quadratic forms. (Russian) Matem. sb., 32 (1953), 287-344. 2. Zhmud’ E. M. On the number of Hermit binary forms with integer complex coefficients. (Russian) Trudy Khar’kov. inzh.-ekon. in-ta, 5 (1954), 141-152. 3. Zhmud’ E. M. On isomorphic linear representations of finite groups. (Russian) Matem. sb., 38 (1956), N4, 417-430. 4. Zhmud’ E. M. Group-theoretic Möbius-Delsarte function and the- ory of linear representations of finite groups. (Russian) Izv. vyssh. uchebn. zaved., Mat., N1 (1957), 133-141. 5. Zhmud’ E. M. On isomorphic irreducible linear representations of finite groups. (Russian) Zap. mat. otdel. fiz.-mat. fak. KhGU i KhMO, 25, ser.4 (1957), 199-204. 6. Zhmud’ E. M. On kernels of homomorphisms of linear representa- tions of finite groups. (Russian) Matem. sb., 44 (1958), N3, 353-408. 7. Zhmud’ E. M. On isomorphic irreducible projective representations of finite groups. (Russian) Zap. mat. otdel. fiz.-mat. fak. KhGU i KhMO, 26, ser.4 (1960), 333-372. Jo u rn al A lg eb ra D is cr et e M at h . 133 8. Zhmud’ E. M. On representations of finite Abelian groups by substitutions. (Russian) Zap. mat. otdel. fiz.-mat. fak. KhGU i KhMO, 27, ser.4 (1961), 131-134. 9. Zhmud’ E. M. On group-theoretic Möbius function. (Russian) Zap. mat. otdel. fiz.-mat. fak. KhGU i KhMO, 28, ser.4 (1961), 73-96. 10. Zhmud’ E. M. On lattice-theoretic properties of kernels of ho- momorphisms of irreducible representations of finite groups. (Russian) “Algebra and Math. Logic", Kiev Univ., 1966, 96-110. 11. Zhmud’ E. M. On finite groups with uniquely generated normal subgroups. (Russian) Matem. sb., 72 (1967), N1, 135-147. 12. Zhmud’ E. M. Upper and lower complements in finite modular lattices. (Russian) Zap. mekh.-mat. fak. KhGU i KhMO, 33 (1967), 8-15. 13. Zhmud’ E. M. Finite groups having a single minimal normal sub- group and a a single class of exact irreducible representations. (Russian) Zap. mekh.-mat. fak. KhGU i KhMO, 33 (1967), 16-19. 14. Zhmud’ E. M. On structure of normal subgroups of a finite nilpo- tent group. (Russian) Zap. mekh.-mat. fak. KhGU i KhMO, 33 (1967), 3-7. 15. Zhmud’ E. M. A operator knot algebra. (Russian) Teor. Funkts., Funkts. Anal. Prilozh., 13 (1971), 75-88. 16. Zhmud’ E. M. Symplectic geometries and projective representa- tions of finite Abelian groups. (Russian) Matem. sb., 87 (1972), N1, 3-17. 17. Zhmud’ E. M. Lattice-theoretic properties of kernels of linear representations of finite groups. (Russian) Abstr. Ph. D. Thes., Kharkov, 1972. 18. Zhmud’ E. M. On a class of finite groups. (Russian) Vestnik Khar’kov. Gos. Univ., vyp.38, N 93 (1973), 3-11. 19. Zhmud’ E. M. On a theorem of Wigner. (Russian) Teor. Funkts., Funkts. Anal. Prilozh., 17 (1973), 71-81 [translation in Selecta Math. Soviet., 11 (1992), N 1, 71-82]. 20. Zhmud’ E. M. On zeroes of group characters. (Russian) Usp. Mat. Nauk, 32 (1977), N 6, 223-224. 21. Zhmud’ E. M. The structure of finite groups with uniquely gen- erated normal subgroups. (Russian) Probl. of group theory and hom. algebra (Yaroslavl’), N 1 (1977), 59-71. 22. Veicblit A. I., Zhmud’ E. M. Connectedness of a finite group and Zassenhaus groups. (Russian) Sakharth. SSR Mecn. Akad. Moambe, 90 (1978), N 2, 277-279. 23. Zhmud’ E. M. An invariant of quadratic forms over a Galois field of characteristic 2. (Russian) Vestnik Khar’kov. Gos. Univ., vyp. 44 Jo u rn al A lg eb ra D is cr et e M at h .134 E. M. Zhmud’ (1979), N 177, 77-86. [translation in Selecta Math. Soviet., 11 (1992), N 2, 105-116]. 24. Zhmud’ E. M. On finite groups with an irreducible character sep- arating conjugacy classes. (Russian) Probl. of group theory and hom. algebra (Yaroslavl’), N 2 (1979), 81-89. 25. Zhmud’ E. M. Finite groups having an irreducible complex char- acter with a class of zeros. (Russian) Dokl. Akad. Nauk SSSR, 247 (1979), N 4, 788-791. 26. Zhmud’ E. M. Finite solvable groups that have an irreducible complex character with conjugate zeros. (Russian) Vestnik Khar’kov. Gos. Univ. N 221 (1981), 70-80. 27. Zhmud’ E. M. The notion of “connectedness” of a finite group. (Russian) Publ. Math. Debrecen, 29 (1982), N 1-2, 177-189. 28. Veicblit A. I., Zhmud’ E. M. Generalized Zassenhaus groups. (Rus- sian) Publ. Math. Debrecen, 29 (1982), N 1-2, 201-217. 29. Zhmud’ E. M. A property of fields of group characters. (Russian) Publ. Math. Debrecen, 29 (1982), N 3-4, 315-318. 30. Zhmud’ E. M. Restriction of group characters to subnormal sub- groups. (Russian) Probl. of group theory and hom. algebra (Yaroslavl’), 1983, 33-42. 31. Zhmud’ E. M. Finite groups having an irreducible complex char- acter with conjugate zeros. I. (Russian) I. Publ. Math. Debrecen, 30 (1983), N 1-2, 185-201. 32. Zhmud’ E. M. Connectivity of a finite group and generalized char- acters. (Russian) Probl. of group theory and hom. algebra (Yaroslavl’), 1985, 13-23. 33. Zhmud’ E. M. Group characters with a small number of zeros. (Russian) Vestnik Khar’kov. Gos. Univ., N 286 (1986), 76-86. 34. Zhmud’ E. M. Estimates for the number of zeros of irreducible characters of a finite group. (Russian) Publ. Math. Debrecen, 33 (1986), N 1-2, 125-146. 35. Zhmud’ E. M. The number of zeros of group characters. I. (Rus- sian) Probl. of group theory and hom. algebra (Yaroslavl’), N 7 (1987), 4-11. 36. Zhmud’ E. M., Ostrovskaya, S. I. The number of zeros of group characters. II. (Russian) Probl. of group theory and hom. algebra (Yaroslavl’), N 7 (1987), 11-17. 37. Berkovich, Ya. G., Zhmud’ E. M. Finite groups with a large num- ber of kernels of irreducible characters. (Russian) Vestnik Khar’kov. Univ., N 334 (1989), 79-91. 38. Zhmud’ E. M. Connectivity of the finite group and generalized Jo u rn al A lg eb ra D is cr et e M at h . 135 characters. Representation theory, group rings, and coding theory, 349- 357, Contemp. Math., 93, Amer. Math. Soc., Providence, RI, 1989. 39. Zhmud’ E. M. On Gallagher’s theorems on zeros of group charac- ters. (Russian) Publ. Math. Debrecen, 37 (1990), N 3-4, 345-353. 40. Zhmud’ E. M., Dakhija S. A. Anton Kazimirovich Sushkevich (to the centenary). (Russian) Yubilei nauki, Ac. Sci. of USSR, Kiev, 1990, 23-29. 41. Zhmud’ E. M. Kernels of projective representations of finite groups. (Russian) Teor. Funkts., Funkts. Anal. Prilozh., N 55 (1991), 34 - 49 [translation in J. Soviet Math., 59 (1992), N 1, 607 - 616]. 42. Zhmud’ E. M. Nonnegative generalized characters of finite groups. (Russian) Probl. of group theory and hom. algebra (Yaroslavl’), 1991, 52-70. 43. Zhmud’ E. M. Zeros of irreducible complex characters of a finite group. (Russian) Vestnik Khar’kov. Univ., N 361 (1991), 80-95. 44. Berkovich Ya., Chillag D., Zhmud’ E. Finite groups in which all nonlinear irreducible characters have three distinct values. Houston J. Math., 21 (1995), N 1, 17-28. 45. Zhmud’ E. M. On the multiplier of a group with a nontrivial center. (Russian) Ukrain. Mat. Zh., 47 (1995), N 4, 546-550 [translation in Ukrain. Math. J. 47 (1995), N 4, 634-639 (1996)]. 46. Zhmud’ E. M. On a variety of nonnegative generalized characters of a finite group. (Russian) Ukrain. Mat. Zh. 47 (1995), N 10, 1338-1349 [translation in Ukrain. Math. J. 47 (1995), N 10, 1526-1540 (1996)]. 47. Zhmud’ E. M. On finite groups, all of whose irreducible characters take at most two nonzero values. (Russian) Ukrain. Mat. Zh. 47 (1995), N 8, 1144-1148 [translation in Ukrain. Math. J. 47 (1995), N 8, 1308-1313 (1996)]. 48. Berkovich Ya., Zhmud E. On monolithic characters. Houston J. Math., 22 (1996), N 2, 263-278. 49. Zhmud’ E. On finite groups in which distinct irreducible charac- ters have distinct kernels. Algebra Colloq., 5 (1998), N 3, 265-276. 50. Berkovich Ya. G., Zhmud’ E. M. Characters of finite groups. Part 1. Translations of Mathematical Monographs, 172. AMS, Providence, RI, 1998, xxiv+382 pp. 51. Berkovich Ya. G., Zhmud’ E. M. Characters of finite groups. Part 2. Translations of Mathematical Monographs, 181. AMS, Providence, RI, 1999, xxvi+332 pp. 52. Zhmud’ E. Finite groups possessing a faithful nonlinear irreducible character with three classes of algebraically conjugate values. J. Algebra, 226 (2000), N 1, 225-235.

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