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arXiv · 1001.4256

Characterizing finite $p$-groups by their Schur multipliers

Peyman Niroomand
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Abstract

It has been proved in \cite{ge} for every $p$-group of order $p^n$, $|\mathcal{M}(G)|=p^{\f{1}{2}n(n-1)-t(G)}$, where $t(G)\geq 0$. In \cite{be, el, zh}, the structure of $G$ has been characterized for $t(G)=0,1,2,3$ by several authors. Also in \cite{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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Peyman Niroomand. 2010-01-24. Characterizing finite $p$-groups by their Schur multipliers. https://doi.org/10.1016/j.crma.2012.10.018

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