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arXiv · 1812.00245

Classification of $p$-groups via their $2$-nilpotent multipliers

P. Niroomand·M. Parvizi
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Abstract

For a $p$-group of order $p^n$, it is known that the order of $2$-nilpotent multiplier is equal to $|\mathcal{M}^{(2)}(G)|=p^{\f12n(n-1)(n-2)+3-s_2(G)}$ for an integer $s_2(G)$. In this article, we characterize all of non abelian $p$-groups satisfying in $s_2(G)\in\{1,2,3\}.

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BibTeXRIS

P. Niroomand, M. Parvizi. 2018-12-01. Classification of $p$-groups via their $2$-nilpotent multipliers. https://doi.org/10.4171/rsmup%2F121

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