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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 5, Pages 1079–1084 (Mi smj1023)  

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
References:
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
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 5, Pages 863–866
DOI: https://doi.org/10.1007/s11202-005-0084-0
Bibliographic databases:
UDC: 512.54
Language: Russian
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
Citation in format AMSBIB
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\by M.~Kuzucuoglu, V.~D.~Mazurov
\paper Finite Sylow subgroups in simple locally finite groups of Lie type
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 5
\pages 1079--1084
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2187464}
\zmath{https://zbmath.org/?q=an:1117.20030}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 5
\pages 863--866
\crossref{https://doi.org/10.1007/s11202-005-0084-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000232564500009}
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    Сибирский математический журнал Siberian Mathematical Journal
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