A New Characterization of PSL(2, q) for Some q

Let G be a finite group and let π e (G) be the set of orders of elements from G. Let k ∈ π e (G) and let m k be the number of elements of order k in G. We set nse (G) := {m k | k ∈ π e (G)}. It is proved that PSL(2, q) are uniquely determined by nse (PSL(2, q)), where q ∈ {5, 7, 8, 9, 11, 13}. As th...

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Bibliographic Details
Date:2015
Main Authors: Asboei, A.K., Amiri, S.S.S., Iranmanesh, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2015
Series:Український математичний журнал
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A New Characterization of PSL(2, q) for Some q / A.K. Asboei, S.S.S. Amiri, A. Iranmanesh // Український математичний журнал. — 2015. — Т. 67, № 9. — С. 1155–1162. — Бібліогр.: 14 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine