Finite groups in which every pair of elements of the same order is either conjugate or inverse-conjugate |
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| Authors: | Caiheng Li |
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| Affiliation: | Dept. of Mathematics , Yunnan Normal University , Kunming , Yunnan , 650092 , P. R. of China |
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| Abstract: | 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 L 2;(7), M11, M23 and Aut(Sz(8)). |
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