Unit group of semisimple group algebras of some non-metabelian groups of order 120

Abstract

In this paper, we give the characterization of the unit groups of semisimple group algebras of some non-metabelian groups of order 120. This study completes the study of unit groups of semisimple group algebras of all groups up to order 120, except that of the symmetric group [Formula: see text] and groups of order 96.