• Normalized unit groups and their conjugacy classes

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/130/0007

• # Keywords

Group ring; unitary subgroup; unit group; conjugacy class

• # Abstract

Let $G = H \times A$ be a finite 2-group, where $H$ is a non-abelian group of order 8 and $A$ is an elementary abelian 2-group. We obtain a normal complement of $G$ in the normalized unit group $V(FG)$ and in the unitary subgroup $V_{\ast}(FG)$ over the field $F$ with 2 elements. Further, for a finite field $F$ of characteristic 2, we derive class size of elements of $V(FG)$. Moreover, we provide class representatives of $V_{\ast}(FH)$.

• # Author Affiliations

1. Department of Mathematics, Indian Institute of Technology Ropar, Nangal Road, Rupnagar 140 001, India

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019