Centralizers of abelian subgroups in locally finite simple groups
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, vol.40, pp.217-225, 1997 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 40
- Publication Date: 1997
- Doi Number: 10.1017/s001309150002366x
- Journal Name: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.217-225
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
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.