M. Sahai

activity

20202025

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3 papers · 1 filter

math.RA2020

Lie nilpotency Index of a modular group algebra

Meena Sahai, Bhagwat Sharan

In this paper, we classify the modular group algebra $K G$ of a group $G$ over a field $K$ of characteristic $p > 0$ having upper Lie nilpotency index $t^{L}(KG)= \vert G^{\prime}\ver…

math.RA2020

on the lower Lie nilpotency index of a group algebra

Meena Sahai, Bhagwat Sharan

In this article, we show that if $K G$ is Lie nilpotent group algebra of a group $G$ over a field $K$ of characteristic $p > 0$ , then $t_{L} (K G) = k$ if and only if $t^{L} (K G) = k$ , for $…

math.RA2020

Group of Units of Finite Group Algebras of Groups of Order 24

Meena Sahai, Sheere Farhat Ansari

Let $F$ be a finite field of characteristic $p$ . The structures of the unit groups of group algebras over $F$ of the three groups $D_{24}$ , $S_{4}$ and $S L (2, Z_{3})$ of order…