Centralizers of abelian subgroups in locally finite simple groups
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, cilt.40, ss.217-225, 1997 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 40
- Basım Tarihi: 1997
- Doi Numarası: 10.1017/s001309150002366x
- Dergi Adı: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.217-225
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
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.