TY  - JOUR
T1  - ON UNITARY SUBGROUPS OF GROUP ALGEBRAS
AU  - Balogh, Zsolt Adam
PY  - 2021
DA  - January
DO  - 10.24330/ieja.852199
JF  - International Electronic Journal of Algebra
JO  - IEJA
PB  - Abdullah HARMANCI
WT  - DergiPark
SN  - 1306-6048
SP  - 187
EP  - 198
VL  - 29
IS  - 29
LA  - en
AB  - Let $FG$ be the group algebra of a finite $p$-group $G$ over afinite field $F$ of characteristic $p$ and let $*$ be theclassical involution of $FG$. The $*$-unitary subgroup of $FG$,denoted by $V_*(FG)$, is defined to be the set of all normalizedunits $u$ satisfying the property $u^*=u^{-1}$. In this paper wegive 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 isalso considered.
KW  - Group ring
KW  - group of units
KW  - unitary subgroup
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UR  - https://doi.org/10.24330/ieja.852199
L1  - https://dergipark.org.tr/en/download/article-file/1483438
ER  -