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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.
math.AC2022
Few remarks on essential modules
Sourav Koner, Biswajit Mitra
In the present paper, modules over integral domains and principal ideal domains that are proper essential extensions of some submodules are classified. We introduce a new class of…