2 papers
math.GR2025
Powerfully embedded subgroups of extensions of powerful pro- 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- 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 -groups and finite groups, which improve all existing bounds. Moreover, we obtain bounds for the size of the seco…