Saeid Jafari

3 Questions 3 Answers 0 Followers

Questions related from Saeid Jafari

If G has a faithful induced representation U=T^G from a subgroup H, how G embeds in (H/K) Wr (S_n), when K =Ker(T), and n=|G:H|?

Suppose that G is a finite group and H is a subgroup of G. Let T be a representation of H with kernel K and U be the induction of T to G. If U is faithful then how one can interpret G as a...

12 December 2015 7,980 0 View

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...

11 November 2015 2,152 3 View

Does there exist a finite group G with a normal subgroup H, for which G has no subgroup isomorphic to the quotient group G/H?

Thanks.

11 November 2014 8,968 6 View