Unitary subgroups of commutative group algebras of characteristic two

• Date: 2020
• Main Authors: Laver, V., Balogh, Z., Лавер, В., Балог, Ж.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1068
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.552.7 Let $FG$ be the group algebra of a finite $2$-group $G$ over a finite field $F$ of characteristic two and $\circledast$ an involution which arises from $G$. The $\circledast$-unitary subgroup of $FG$, denoted by $V_{\circledast}(FG)$, is defined to be the set of all normalized units $u...