T. N. Mavely

collaborators

3 papers

math.GR2026

On the Schur multiplier of $p$ -groups with abelianization $s$ -elementary abelian

Sumana Hatui, Tony Nixon Mavely, Sahanawaj Sabnam

Let $p$ be an odd prime. We describe a method to compute the Schur multiplier of finite $p$ -groups $G$ of nilpotency class $2$ such that $G / [G, G]$ is isomorphic to direct product o…

math.GR2026

Powerfully embedded subgroups of extensions of powerful pro- $p$ groups

Sathasivam Kalithasan, Tony N. Mavely, Viji Z. Thomas

One of the aims of this paper is to obtain structural results showing that powerful subgroups are abundant in pro- $p$ groups admitting certain powerful quotients. In particular, we…

math.GR2025

On the size of the Schur multiplier of finite groups

Sathasivam Kalithasan, Tony N. Mavely, Viji Z. Thomas

We obtain bounds for the size of the Schur multiplier of finite $p$ -groups and finite groups, which improve all existing bounds. Moreover, we obtain bounds for the size of the seco…

On the Schur multiplier of p-groups with abelianization s-elementary abelian

Powerfully embedded subgroups of extensions of powerful pro-p groups

On the size of the Schur multiplier of finite groups

On the Schur multiplier of $p$ -groups with abelianization $s$ -elementary abelian

Powerfully embedded subgroups of extensions of powerful pro- $p$ groups