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math.GR2024
Zero divisors with small supports in group algebras of torsion-free groups over a field
Sourav Koner, Rabindranath Chakraborty
For any field and all torison-free group , we prove that if for some non-zero such that and $a…
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…