Group of Units of Finite Group Algebras of Groups of Order 24

Abstract

Let F be a finite field of characteristic p. The structures of the unit groups of group algebras over F of the three groups D24, S4 and SL(2, Z3) of order 24 are completely described in [3,4,5,7,8]. In this paper, we give the unit groups of the group algebras over F of the remaining groups of order 24,