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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 5, Pages 1079–1084
(Mi smj1023)
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Finite Sylow subgroups in simple locally finite groups of Lie type
M. Kuzucuoglua, V. D. Mazurovb a Middle East Technical University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
The main result of the paper is the following
Theorem. {\it Let $S=\{r_0,r_1,\dots,r_n\}$ be a finite nonempty set of primes and let $L$ be a Lie type of Chevalley groups. Then there exists a locally finite field $F$ of characteristic $r_0$ such that Sylow $r$-subgroups of the simple group $L(F)$ of type $L$ over $F$ are finite if and only if $r\notin S$.}
Keywords:
Sylow subgroups, local finiteness, simple group.
Received: 21.03.2005
Citation:
M. Kuzucuoglu, V. D. Mazurov, “Finite Sylow subgroups in simple locally finite groups of Lie type”, Sibirsk. Mat. Zh., 46:5 (2005), 1079–1084; Siberian Math. J., 46:5 (2005), 863–866
Linking options:
https://www.mathnet.ru/eng/smj1023 https://www.mathnet.ru/eng/smj/v46/i5/p1079
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Abstract page: | 367 | Full-text PDF : | 109 | References: | 71 |
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