3 papers
math.GR2026
Powerfully embedded subgroups of extensions of powerful pro- 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.GR2026
On the decidability of the integrability of finite groups
Sathasivam Kalithasan, Viji Z. Thomas
An integral of a group is a group whose commutator subgroup is isomorphic to . In this paper, we prove that the integrability of a finite group is a decidable problem.
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 -groups and finite groups, which improve all existing bounds. Moreover, we obtain bounds for the size of the seco…