A Note on Clean Group Algebras
Kanchan Joshi, Pramod Kanwar, J. B. Srivastava · Contemporary mathematics - American Mathematical Society · 2014
The group algebras for which clean implies the group is a torsion group are studied. It is shown that if G G is a polycyclic-by-finite group or finitely generated solvable group or a nilpotent group or a FC group or a locally FC group such that the group algebra K G KG is clean then G G is a torsion group. A class of clean elements in the group algebra of the infinite dihedral group over a field of characteristic different from 2 2 is also given.