• Normalized unit groups and their conjugacy classes

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      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

       

      S KAUR1 M KHAN1

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

       
  • Proceedings – Mathematical Sciences | News

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