Units of Group Algebras of the Fours Group

Abstract

We obtain some necessary conditions on coefficients of possible units of even (resp., odd) L-length in the group algebra KΓ , where Γ is the (Passman) fours group. In particular, the relations between the coefficients of possible units of L-length greater or equal to 4, in this group algebra, are also investigated. © 2019, Iranian Mathematical Society.