Cerca
Ara mostrant els elements 1-3 d 3
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 ...
Finite groups with two p-regular conjugacy class lengths II
(Australian Mathematical Publishing AssociationCambridge University Press, 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.
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 ...