Characterization of finite $p$-groups by the order of their Schur multipliers ($t(G)=7$)
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Abstract:
Let $G$ be a finite $p$-group of order $p^n$ and $|{mathcal M}(G)|=p^{frac{1}{2}n(n-1)-t(G)}$, where ${mathcal M}(G)$ is the Schur multiplier of $G$ and $t(G)$ is a nonnegative integer. The classification of such groups $G$ is already known for $t(G)leq 6$. This paper extends the classification to $t(G)=7$.
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Journal title
volume 43 issue 7
pages 2567- 2576
publication date 2017-12-30
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