Nilpotent injectors in minimal simple groups

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• 作者：Tom Morris ; ^{tommorris168@gmail.com} ; Paul Flavell
• 关键词：Finite groups ; Nilpotent injectors ; Minimal simple groups
• 刊名：Journal of Algebra
• 出版年：2012
• 出版时间：1 July, 2012
• 年：2012
• 卷：361
• 期：Complete
• 页码：1-22
• 全文大小：274 K

文摘

An odd nilpotent injector of a finite group G is defined to be a subgroup which is maximal subject to being nilpotent of odd order and containing a subgroup of maximal order amongst all abelian subgroups of odd order. We prove that the odd nilpotent injectors of a minimal simple group are all conjugate, extending the result from soluble groups. The proof does not use the classification of minimal simple groups.