ABSTRACT
Let 𝒰(FG) denotes the unit group of FG. In this article, we compute theorder of in terms of the order of 𝒰(FG) for an arbitrary finite group G, where
is the cyclic group of order 2n and F is a finite field of characteristic 2. Further, if A is an elementary abelian 2-group, then we obtain structures of 𝒰(F(G×A)) and its unitary subgroup 𝒰∗(F(G×A)), where ∗ is the canonical involution of the group algebra F(G×A). Finally, we provide a set of generators of
and 𝒰(FD4m).
KEYWORDS:
Acknowledgements
The authors would like to thank the referee for valuable comments and suggestions.