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

Abstract

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 $t(G)\ge 0$. The structure of $G$ characterized when $t(G)\le 4$ in \cite{be,el,ni,sa,zh}. The structure description of $G$ is determined in this paper for $t(G)=5$.

arXiv commentTo appear in Mathematical Reports with small revisions

References in corpus (1)

• Characterizing finite $p$-groups by their Schur multipliers

Cited by in corpus (3)

• A characterization of finite $p$-groups by their Schur multiplier
• Classifying $p$-groups via their multiplier
• Finite $p$-groups having Schur multiplier of maximum order