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arXiv · 1705.02520

On the order of the Schur multiplier of $p$-groups

Pradeep K. Rai
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Abstract

We give a bound on the order of the Schur multiplier of $p$-groups refining earlier bounds. As an application we complete the classification of groups having Schur multiplier of maximum order. Finally we prove that the order of the Schur multiplier of a finite $p$-group of maximal class and order $p^n$ is at most $p^{\frac{n}{2}}$.

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Pradeep K. Rai. 2017-05-06. On the order of the Schur multiplier of $p$-groups. https://arxiv.org/abs/1705.02520

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