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math.GR2024
Essential subgroups and essential extensions
Sourav Koner, Biswajit Mitra
The notion of essential submodules and essential extensions of modules are extended to groups (typically nonabelian), and several necessary and sufficient conditions for a group to…
math.GR2022
Socle of Hamiltonian Group
Sourav Koner, Biswajit Mitra
The socle of a group is the subgroup generated by all minimal normal subgroups of . In this short note, we determine the socle of a Hamiltonian group explicitly.