T. N. Mavely

activity

20222026

collaborators

4 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.GR2025

Powerfully embedded subgroups of extensions of powerful pro- $p$ groups and its applications to automorphisms of finite 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.GR2023

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…

math.GR2022

The maximum number of triangles in a graph and its applications to special $p$ -groups

Tony N. Mavely, Viji Z. Thomas

We give a sharp bound on the number of triangles in a graph with fixed number of edges. We also characterize graphs that achieve the maximum number of triangles. Using the upper bo…

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

Powerfully embedded subgroups of extensions of powerful pro-p groups and its applications to automorphisms of finite groups

On the size of the Schur multiplier of finite groups

The maximum number of triangles in a graph and its applications to special p-groups

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

Powerfully embedded subgroups of extensions of powerful pro- $p$ groups and its applications to automorphisms of finite groups

The maximum number of triangles in a graph and its applications to special $p$ -groups