Akhlaghi, Zeinab; Beltrán Felip, Antonio; Felipe Román, María Josefa(Elsevier, 2014-02-01)
If G is a finite group, we show that any normal subgroup of G
which has exactly three G-conjugacy class sizes is solvable. Thus,
we give an extension for normal subgroups of the classical N. Itô’s
theorem which asserts ...
Akhlaghi, Zeinab; Beltrán Felip, Antonio; Felipe Román, María Josefa; Khatami, Maryam(Elsevier, 2011-06-15)
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 ...