Esteban Romero, Ramón(Universitat de València - Servei de Publicacions, 1999)
In the first part, new bounds for the number of conjugacy classes of maximal length of a finite $p$-group $G$, $r(G)$, are obtained, and they are related with the length of these classes. If $r(G)=p^m-b-1$, there exists a ...
Akhlaghi, Z.; Beltran, A.; Felipe Román, María Josefa(De Gruyter, 2013-07)
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 ...