M. Sahai

activity

20202025

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6 papers · 1 filter

math.RA2025

Jordan Nilpotent Group Rings of index $4$

Meena Sahai, Sachin Singh

Let $R G$ be the group ring of an arbitrary group $G$ over an associative non-commutative ring $R$ with identity. In this paper, we have obtained the necessary and sufficient condit…

math.RA2021

The structure of the unit group of the group algebra $F (C_{3} \times D_{10})$

Meena Sahai, Sheere Farhat Ansari

Let $D_{n}$ be the dihedral group of order $n$ . The structure of the unit group $U (F (C_{3} \times D_{10}))$ of the group algebra $F (C_{3} \times D_{10})$ over a finite field $F$ of cha…

math.RA2021

Units in $F (C_{n} \times Q_{12})$ and $F (C_{n} \times D_{12})$

Meena Sahai, Sheere Farhat Ansari

Let $C_{n}$ , $Q_{n}$ and $D_{n}$ be the cyclic group, the quaternion group and the dihedral group of order $n$ , respectively. The structures of the unit groups of the finite group algebr…

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…

Jordan Nilpotent Group Rings of index 4

The structure of the unit group of the group algebra F(C3​×D10​)

Units in F(Cn​×Q12​) and F(Cn​×D12​)

Lie nilpotency Index of a modular group algebra

on the lower Lie nilpotency index of a group algebra

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

Jordan Nilpotent Group Rings of index $4$

The structure of the unit group of the group algebra $F (C_{3} \times D_{10})$

Units in $F (C_{n} \times Q_{12})$ and $F (C_{n} \times D_{12})$