Abstract In this paper, we study the number of conjugacy classes maximal cyclic subgroups a finite group

Abstract In this paper we characterize, in terms of their conjugacy classes, linear groups G such that $$G/\zeta _k(G)$$ G / ζ k ( ) belongs to a certain group class $$\mathfrak {...

for a finite group $g$ let $nu(g)$ denote the number of conjugacy classes of non-normal subgroups of $g$. we give a short proof of a theorem of brandl, which classifies finite groups with $nu(g)=1$.