Beltran, Antonio; Felipe Román, María José; Melchor, Carmen(World Scientific Publishing, 2016-11)
Landau's theorem on conjugacy classes asserts that there are only finitely many finite groups, up to isomorphism, with exactly k conjugacy classes for any positive integer k. We show that, for any positive integers n and ...
Beltran, Antonio; Felipe Román, María Josefa; Melchor, Carmen(Cambridge University Press (CUP), 2016-10)
Let G be a finite group and let N be a normal subgroup of G. We determine the structure of N when the diameter of the graph associated to the G-conjugacy classes contained in N is as large as possible, that is, equal to three.