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Some Properties of the Schur Multiplier with Algebraic Topological Approach
Schur multiplier Homotopy group Homology group
2011/2/21
In this paper, using a relationship between the Schur multiplier of a group G, the fundamental group, and the second homology group of the Eilenberg-MacLane space of G, we present new proofs for some ...
On a Conjecture of a Bound for the Exponent of the Schur Multiplier of a Finite $p$-Group
Conjecture Exponent Schur Multiplier Finite $p$-Group
2010/11/18
Let $G$ be a $p$-group of nilpotency class $k$ with finite exponent $\exp(G)$ and let $m=\lfloor\log_pk\rfloor$. We show that $\exp(M^{(c)}(G))$ divides $\exp(G)p^{m(k-1)}$, for all $c\geq1$, where $...