Listar por autoría "9d526318-7810-4a53-bba2-32e83e72a4e1"
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Structure of finite groups under certain arithmetical conditions on class sizes
Elsevier (2008)Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, m k} with m and n coprime positive integers greater than 1 and k a divisor of n. Then we obtain several properties on the ... -
Structure of normal subgroups with three G-class sizes
Springer-Verlag (2012)Let G be a finite group and N be a normal subgroup of G. Suppose that the set of G-conjugacy class sizes of N is {1, m, n}, with m < n and m does not divide n. In this paper, we show that N is solvable, and we determine ...
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Structure of p -complements in groups with three p-regular class sizes
Springer-Verlag (2012)Let G be a finite p -solvable group for some prime p and suppose that the set of p -regular conjugacy class sizes is {1,m,mn} with (m,n)=1 and m coprime to p . We show that m=qb for some prime q and we describe the structure ...
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The influence of p-regular class sizes on normal subgroups
Walter de Gruyter (2013)Let G be a finite group and N be a normal subgroup of G and suppose that the p-regular elements of N have exactly two G-conjugacy class sizes. It is shown that N is solvable and that if H is a p-complement of N, then either ... -
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 ...
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Triangles in the graph of conjugacy classes of normal subgroups
Springer (2015-12)Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph ΓG(N), which is the graph associated to the conjugacy classes of G contained in N, has no triangles and when the graph ...
