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There exists _______ between group homology and group cohomology of a finite group.(a) homomorphism(b) isomorphism(c) automorphism(d) semilattice structureThis 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

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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).



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