The Schur multiplier of some finite multiplicative Lie algebras

2022/08/06 by Kumar, Amit, Pal, Deepak, Kushwaha, Seema +1
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2208.03503

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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