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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 4, Pages 92–101 (Mi timm754)  

This article is cited in 1 scientific paper (total in 1 paper)

On intersections of Sylow 2-subgroups in automorphism groups of finite simple groups of exceptional Lie type

V. I. Zenkovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
Full-text PDF (200 kB) Citations (1)
References:
Abstract: It is shown that, in a finite group with socle isomorphic to a simple group of exceptional Lie type over a field of an odd order greater than 3, the number of Sylow 2-subgroups whose intersection with a fixed Sylow 2-subgroup is trivial exceeds by a factor of at least 3 the order of this Sylow 2-subgroup.
Keywords: finite group, simple group of exceptional Lie type, Sylow 2-subgroup, intersection of subgroups.
Received: 10.05.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, Volume 279, Issue 1, Pages 152–162
DOI: https://doi.org/10.1134/S008154381209012X
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: V. I. Zenkov, “On intersections of Sylow 2-subgroups in automorphism groups of finite simple groups of exceptional Lie type”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 92–101; Proc. Steklov Inst. Math. (Suppl.), 279, suppl. 1 (2012), 152–162
Citation in format AMSBIB
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\by V.~I.~Zenkov
\paper On intersections of Sylow 2-subgroups in automorphism groups of finite simple groups of exceptional Lie type
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 4
\pages 92--101
\mathnet{http://mi.mathnet.ru/timm754}
\elib{https://elibrary.ru/item.asp?id=17870427}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2012
\vol 279
\issue , suppl. 1
\pages 152--162
\crossref{https://doi.org/10.1134/S008154381209012X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84871302703}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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