Listar por tema "p-regular elements"
Mostrando ítems 1-3 de 3
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Finite groups with two p-regular conjugacy class lengths II
Australian Mathematical Publishing Association (2009)Let G be a finite group. We prove that if the set of p-regular conjugacy class sizes of G has exactly two elements, then G has Abelian p-complement or G=PQ×A, with P∈Sylp(G), Q∈Sylq(G) and A Abelian. -
Finite p-solvable groups with three p-regular conjugacy class sizes
Edinburgh Mathematical Society (2013)Let G be a finite p-solvable group. We describe the structure of the p-complements of G when the set of p-regular conjugacy classes has exactly three class sizes. For instance, when the set of p-regular class sizes of G ...
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Normal subgroups and p-regular G-class sizes.
© 2011 Elsevier (2011-06)Let G be a finite p-solvable group and N be a normal subgroup of G. Suppose that the p-regular elements of N have exactly two G-conjugacy class sizes. In this paper it is shown that, if H is a p-complement of N, then either ...
