@article{Laver_Balogh_2020, title={Unitary subgroups of commutative group algebras of characteristic two}, volume={72}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/1068}, DOI={10.37863/umzh.v72i6.1068}, abstractNote={<p>UDC 512.552.7</p> <p>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 $u$ satisfying the property $u^{\circledast}=u^{-1}$. In this paper we establish the order of $V_{\circledast}(FG)$ for all involutions $\circledast$ which arise from $G$, where $G$ is a finite cyclic $2$-group and show that all $\circledast$-unitary subgroups of $FG$ are not isomorphic.</p>}, number={6}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Laver, V. and Balogh, Z.}, year={2020}, month={May}, pages={751-757} }