Characterizing finite p-groups by their Schur multipliers

Abstract

It has been proved in ge for every p-group of order pn, |M(G)|=p12n(n-1)-t(G), where t(G)≥ 0. In be, el, zh, the structure of G has been characterized for t(G)=0,1,2,3 by several authors. Also in sa, the structure of G characterized when t(G)=4 and Z(G) is elementary abelian. This paper is devoted to classify the structure of G when t(G)=4 without any condition.

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