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arXiv · 2208.03503

The Schur multiplier of some finite multiplicative Lie algebras

Amit Kumar·Deepak Pal·Seema Kushwaha·Sumit Kumar Upadhyay
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Abstract

The main aim of the article is to find the Schur multiplier and the Lie exterior square of some finite multiplicative Lie algebras. For a non abelian simple group $K$ with trivial Schur multiplier, we see that the Schur multiplier of multiplicative Lie algebra $K$ is trivial and the Lie exterior square of $K$ is an improper multiplicative Lie algebra $K.$

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Amit Kumar, Deepak Pal, Seema Kushwaha, Sumit Kumar Upadhyay. 2022-08-06. The Schur multiplier of some finite multiplicative Lie algebras. https://arxiv.org/abs/2208.03503

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