• S KAUR

      Articles written in Proceedings – Mathematical Sciences

    • Normalized unit groups and their conjugacy classes

      S KAUR M KHAN

      More Details Abstract Fulltext PDF

      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 $V_{\ast}(FH)$.

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