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Centralizers of involutions in locally finite-simple groups
Date
2007-01-01
Author
Berkman, A.
Kuzucuoğlu, Mahmut
OeZyurt, E.
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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We consider infinite locally finite-simple groups (that is, infinite groups in which every finite subset lies in a finite simple subgroup). We first prove that in such groups, centralizers of involutions either are soluble or involve an infinite simple group, and we conclude that in either case centralizers of involutions are not inert subgroups. We also show that in such groups, the centralizer of an involution is linear if and only if the ambient group is linear.
Subject Keywords
PERIODIC LINEAR-GROUPS
,
CHEVALLEY-GROUPS
,
ORDER
URI
https://hdl.handle.net/11511/53360
Journal
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA
Collections
Department of Mathematics, Article
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A. Berkman, M. Kuzucuoğlu, and E. OeZyurt, “Centralizers of involutions in locally finite-simple groups,”
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA
, pp. 189–196, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53360.