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

DOI10.1515/JGTH-2022-0039arXiv2202.10626MaRDI QIDQ6391795

Renu Joshi, Siddhartha Sarkar

Publication date: 21 February 2022

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

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Finite nilpotent groups, (p)-groups (20D15) Projective representations and multipliers (20C25)

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