# Characterization of finite $p$-groups by the order of their Schur multipliers ($t(G)=7$)

Document Type: Research Paper

Author

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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Main Subjects

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### History

• Receive Date: 12 April 2017
• Revise Date: 09 December 2017
• Accept Date: 26 December 2017