Characterizing finite $p$-groups by their Schur multipliers, $t(G)=5$

Details Characterizing finite $p$-groups by their Schur multipliers, $t(G)=5$ Characterizing finite $p$-groups by their Schur multipliers, $t(G)=5$

2010-01-25

arxiv.org/abs/1001.4257v1

Mathematics

Group Theory

Scientific paper

Let $G$ be a finite $p$-group of order $p^n$. It is known that
$|\mathcal{M}(G)|=p^{\f{1}{2}n(n-1)-t(G)}$ and $t(G)\geq 0$. The structure of
$G$ characterized when $t(G)\leq 4$ in \cite{be,el,ni,sa,zh}. The structure
description of $G$ is determined in this paper for $t(G)=5$.

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