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- W2078892095 abstract "Let G be a finite group and suppose that the set of conjugacy class sizes of G is f1; m; mng, where m; n > 1 are coprime. We prove that m ¼ p for some prime p dividing n � 1. We also show that G has an abelian normal p-complement and that if P is a Sylow p-subgroup of G, then jP 0 j¼ p and jP=ZðGÞp j¼ p 2 . We obtain other properties and deter- mine completely the structure of G." @default.
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- W2078892095 date "2009-01-01" @default.
- W2078892095 modified "2023-10-18" @default.
- W2078892095 title "The structure of finite groups with three class sizes" @default.
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- W2078892095 doi "https://doi.org/10.1515/jgt.2008.095" @default.
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