Centralizers of involutions in locally finite-simple groups

Date

2007-01-01

Author

Berkman, A.
Kuzucuoğlu, Mahmut
OeZyurt, E.

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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

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Department of Mathematics, Article

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Citation Formats

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.