Z. Balogh

activity

20052026

most citedUnitary Subgroups of commutative group algebras of characteristic two

2 citations · 5 across the 7 of their papers we have counts for

collaborators

8 papers

math.RA2026

Lie nilpotency index of skew symmetric elements in group algebras

Zsolt Adam Balogh

Let $F G$ be the group algebra of a finite $p$ -group $G$ over a finite field $F$ of characteristic $p$ , where $p$ is an odd prime. Let $*$ be the classical involution of $F G$ and le…

math.GR2022

The Order of the Unitary Subgroups of Group Algebras

Zsolt Adam Balogh

Let $F G$ be the group algebra of a finite $p$ -group $G$ over a finite field $F$ of positive characteristic $p$ . Let $\cd$ be an involution of the algebra $F G$ which is a linear ext…

math.RA2022

Some Results on Factorization of Monoids

Zsolt Adam Balogh, Tamar Mesablishvili

Factorizations of monoids are studied. Two necessary and sufficient conditions in terms of so-called descent 1-cocyles for a monoid to be factorized through two submonoids are foun…

math.RA2020★ 2 cited

Unitary Subgroups of commutative group algebras of characteristic two

Zsolt Balogh, Vasyl Laver

Let $F G$ be the group algebra of a finite $2$ -group $G$ over a finite field $F$ of characteristic two and $⊛$ an involution which arises from $G$ . The $⊛$ -unita…

math.GR2020

On the Unitary Subgroups of group algebras

Zsolt Adam Balogh

Let $F G$ be the group algebra of a finite $p$ -group $G$ over a finite field $F$ of characteristic $p$ and $*$ the classical involution of $F G$ . The $*$ -unitary subgroup of $F G$ , de…

math.RA2019★ 1 cited

Isomorphism problem of Unitary Subgroups of Group Algebras

Zsolt Balogh, Victor Bovdi

Let V_* be the normalized unitary subgroup of the modular group algebra FG of a finite p-group G over a finite field F with the classical involution *. We investigate the isomorphi…