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 4,132 3 View