Centralizers of abelian subgroups in locally finite simple groups

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Atıf İçin Kopyala

Kuzucuoglu M.

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, cilt.40, ss.217-225, 1997 (SCI-Expanded)

• 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
• 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.