Malaysian Journal of Mathematical Sciences, May 2021, Vol. 15, No. 2
Units of the Group Algebra of the Group \(C_n \times D_8\) Over Any Finite Field of Characteristic 2
Gildea, J. and O' Malley, S.
Corresponding Email: j.gildea@chester.ac.uk
Received date: 23 February 2019
Accepted date: 20 September 2020
Abstract:
This article is concerned with establishing the structure of the unit group of certain group algebras. In particular, we establish the structure of the unit group of the group algebra \(\mathbb{F}_{2^k} (C_n \times D_8)\) for \(n \geq 1\).
Keywords: Group ring, group algebra, dihedral group, cyclic group
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