@article{article_852199, title={ON UNITARY SUBGROUPS OF GROUP ALGEBRAS}, journal={International Electronic Journal of Algebra}, volume={29}, pages={187–198}, year={2021}, DOI={10.24330/ieja.852199}, author={Balogh, Zsolt Adam}, keywords={Group ring, group of units, unitary subgroup}, abstract={Let $FG$ be the group algebra of a finite $p$-group $G$ over a finite field $F$ of characteristic $p$ and let $*$ be the classical involution of $FG$. The $*$-unitary subgroup of $FG$, denoted by $V_*(FG)$, is defined to be the set of all normalized units $u$ satisfying the property $u^*=u^{-1}$. In this paper we give a recursive method how to compute the order of the $*$-unitary subgroup for certain non-commutative group algebras. A variant of the modular isomorphism question of group algebras is also considered.}, number={29}, publisher={Abdullah HARMANCI}