On the Schur Multiplier of finite $p$-groups of maximal class

Renu Joshi; Siddhartha Sarkar

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arXiv · 2202.10626

On the Schur Multiplier of finite $p$-groups of maximal class

Renu Joshi·Siddhartha Sarkar

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Abstract

In this article, we prove that the Schur Multiplier of a finite $p$-group of maximal class of order $p^n ~(4 \leq n \leq p+1)$ is elementary abelian. The case $n = p+1$ settles a question raised by Primo\v{z} Moravec in an earlier article.

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Renu Joshi, Siddhartha Sarkar. 2022-02-22. On the Schur Multiplier of finite $p$-groups of maximal class. https://arxiv.org/abs/2202.10626

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