ON UNITARY SUBGROUPS OF GROUP ALGEBRAS

Let $FG$ be the group algebra of a finite $p$-group $G$ over a
 field $F$ characteristic $p$ and let $*$ the
 classical involution $FG$. The $*$-unitary subgroup $FG$,
 denoted by $V_*(FG)$, is defined to set all normalized
 units $u$ satisfying property $u^*=u^{-1}$. In this paper we
 give recursive method how compute order for certain non-commutative algebras.
 A variant modular isomorphism question algebras is
 also considered.