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Finite groups in which every pair of elements of the same order is either conjugate or inverse-conjugate

 

作者: Caiheng Li,  

 

期刊: Communications in Algebra  （Taylor Available online 1994）
卷期: Volume 22, issue 8  

页码: 2807-2816

 

ISSN:0092-7872

 

年代: 1994

 

DOI:10.1080/00927879408824992

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

For a group G, elements a and b are said to be inverse-conjugate if α is conjugate to b−1. We classify all finite groups in which every pair of elements of the same order is either conjugate or inverse-conjugate. The groups with this property are either small soluble groups, which are explicitly listed, or the groups L2;(7), M11, M23and Aut(Sz(8)).

 

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