Research ArticleNo Access

Lie nilpotency index of a modular group algebra

Meena Sahai

https://orcid.org/0000-0002-2709-9210

Department of Mathematics and Astronomy, University of Lucknow, Lucknow, U.P. 226007, India

E-mail Address: meena_sahai@hotmail.com

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and

Bhagwat Sharan

Department of Mathematics and Astronomy, University of Lucknow, Lucknow, U.P. 226007, India

E-mail Address: bhagwat_sharan@hotmail.com

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https://doi.org/10.1142/S1793557121501291Cited by:0 (Source: Crossref)

Abstract

In this paper, we classify the modular group algebra $K G$ $K G$ of a group $G$ $G$ over a field $K$ $K$ of characteristic $p > 0$ $p > 0$ having upper Lie nilpotency index $t^{L} (K G) = | G^{'} | - k (p - 1) + 1$ for $k = 14$ and $15$ . Group algebras of upper Lie nilpotency index $| G^{'} | - k (p - 1) + 1$ for $k \leq 13$ , have already been characterized completely.

Communicated by L. A. Bokut

Keywords:

AMSC: 16S34, 17B30

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