On minimal ω-composition non-H-formations
Let H be some class of groups. A formation F is called a minimal τ -closed ω-composition non-H-formation [1] if F * H but F1 ⊆ H for all proper τ -closed ω-composition subformations F₁ of F. In this paper we describe the minimal τ -closed ω-composition non-H-formations, where H is a 2-multiply lo...
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| Date: | 2006 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2006
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/157390 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On minimal ω-composition non-H-formations / L.I. Belous, V.M. Selkin // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 4. — С. 1–11. — Бібліогр.: 12 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | Let H be some class of groups. A formation F
is called a minimal τ -closed ω-composition non-H-formation [1] if
F * H but F1 ⊆ H for all proper τ -closed ω-composition subformations F₁ of F. In this paper we describe the minimal τ -closed
ω-composition non-H-formations, where H is a 2-multiply local formation and τ is a subgroup functor such that for any group G all
subgroups from τ (G) are subnormal in G. |
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