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

author

  • S.H. Jafari Department of Mathematics, Mashhad branch, Islamic Azad University, Mashhad, Iran
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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