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Ara mostrant els elements 1-2 d 2
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Nilpotency of normal subgroups having two G-class sizes
American Mathematical Society (2010-12-22)Let G be a finite group. If N is a normal subgroup which has exactly two G-conjugacy class sizes, then N is nilpotent. In particular, we show that N is abelian or is the product of a p-group P by a central subgroup of G. ... -
The structure of finite groups with three class sizes
Walter de Gruyter (2009)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 1⁄4 p for some prime p dividing n 1. We also show that G has an abelian normal ...
