Question

There exists _______ between group homology and group cohomology of a finite group.

(a) homomorphism

(b) isomorphism

(c) automorphism

(d) semilattice structure

This question was addressed to me by my school principal while I was bunking the class.

My question is based upon Graph’s Matrices topic in division Graphs of Discrete Mathematics

Answer 1

Right answer is (a) homomorphism

Easy explanation: We know that there exists an isomorphism between group homology and group cohomology of finite group. Let S’ denote the set of all integers, and let G’ be a finite cyclic Group and for every S then G’-module N, we have S’S’n(G’, A) is isomorphic to S’n+1(G’, A).