Saeid Jafari

2 Questions 3 Answers 0 Followers

Questions related from Saeid Jafari

Is the nilpotency class of a Sylow p-subgroup of a chief factor of G, less than or equal to the nilpotency class of a Sylow p-subgroup of G?

Suppose that G is a finite group and P is a Sylow p-subgroup of G, and H/K is a chief factor of G, and T/K is a Sylow p-subgroup of H/K. Is that correct to say that c(T/K) is less than or equal to...

30 November 2015 4,214 3 View

Is there a classification of finite groups G for which |G:G'|=2 ?

We know if a non-Abelian finite group is simple then G=G', where G' is the subgroup generated by commutators; i.e. for such groups the index of G' in G is 1. I want to know if one has classified...

07 April 2015 658 1 View