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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 4, Pages 92–101
(Mi timm754)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/timm754 https://www.mathnet.ru/eng/timm/v17/i4/p92
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Abstract page: | 270 | Full-text PDF : | 78 | References: | 55 |
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