Centralizers of abelian subgroups in locally finite simple groups

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1997-06-01

Author

Kuzucuoğlu, Mahmut

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It is shown that, if a non-linear locally finite simple group is a union of finite simple groups, then the centralizer of every element of odd order has a series of finite length with factors which are either locally solvable or non-abelian simple. Moreover, at least one of the factors is non-linear simple. This is also extended to abelian subgroup of odd orders.

Subject Keywords

Abelian, Centralizers

URI

https://hdl.handle.net/11511/32891

Journal

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY

DOI

https://doi.org/10.1017/s001309150002366x

Collections

Department of Mathematics, Article

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Citation Formats

M. Kuzucuoğlu, “Centralizers of abelian subgroups in locally finite simple groups,” PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, pp. 217–225, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32891.