Add to ORKGAbstract. In this paper we give a complete characterization of the unit group U (FS3) of the group algebra FS3 of the symmetric group S3 of degree 3 over a finite field F. Moreover, over the prime field Z2 and Z3, presentation of the unit groups of group algebras Z2S3 and Z3S3 in terms of generators and relators have also been obtained. 1
We study group algebras FG for which the symmetric units under the natural involution: g 17 = g 121 ...
Let $RG$ be the gruop ring of the group $G$ over ring $R$ and $U(RG)$ be its unitgroup. In this pape...
Abstract. Let p be an odd prime, D2p be the dihedral group of order 2p, and F2 be the finite field w...
summary:Let $FG$ be a group algebra of a group $G$ over a field $F$ and ${\mathcal U}(FG)$ the unit ...
summary:Let $FG$ be a group algebra of a group $G$ over a field $F$ and ${\mathcal U}(FG)$ the unit ...
summary:Let $FG$ be a group algebra of a group $G$ over a field $F$ and ${\mathcal U}(FG)$ the unit ...
Summary. We render with a few minor variants the geometrical approach to the description of the grou...
In this study, a representation of the group ring ZS3 is obtained by using a faithful irreducible re...
In this paper, we establish the structure of the unit group of the group algebra ${\FF}_{3^t}(C_n\ti...
Let $\F_q$ be a finite field of characteristic $p$ having $q$ elements, where $q = p^k$ and $p\ge 5$...
Let $\F_q$ be a finite field of characteristic $p$ having $q$ elements, where $q = p^k$ and $p\ge 5$...
AbstractLet B be a totally complex number field, Galois over the rational field Q, with Galois group...
We study group algebras FG for which the symmetric units under the natural involution: g∗ = g−1 sat...
The units in the group ring for S₃ over the integers are investigated. It is shown that the only uni...
Abstract. In this paper, we present the structure of the group of ∗-unitary units in the group algeb...
We study group algebras FG for which the symmetric units under the natural involution: g 17 = g 121 ...
Let $RG$ be the gruop ring of the group $G$ over ring $R$ and $U(RG)$ be its unitgroup. In this pape...
Abstract. Let p be an odd prime, D2p be the dihedral group of order 2p, and F2 be the finite field w...
summary:Let $FG$ be a group algebra of a group $G$ over a field $F$ and ${\mathcal U}(FG)$ the unit ...
summary:Let $FG$ be a group algebra of a group $G$ over a field $F$ and ${\mathcal U}(FG)$ the unit ...
summary:Let $FG$ be a group algebra of a group $G$ over a field $F$ and ${\mathcal U}(FG)$ the unit ...
Summary. We render with a few minor variants the geometrical approach to the description of the grou...
In this study, a representation of the group ring ZS3 is obtained by using a faithful irreducible re...
In this paper, we establish the structure of the unit group of the group algebra ${\FF}_{3^t}(C_n\ti...
Let $\F_q$ be a finite field of characteristic $p$ having $q$ elements, where $q = p^k$ and $p\ge 5$...
Let $\F_q$ be a finite field of characteristic $p$ having $q$ elements, where $q = p^k$ and $p\ge 5$...
AbstractLet B be a totally complex number field, Galois over the rational field Q, with Galois group...
We study group algebras FG for which the symmetric units under the natural involution: g∗ = g−1 sat...
The units in the group ring for S₃ over the integers are investigated. It is shown that the only uni...
Abstract. In this paper, we present the structure of the group of ∗-unitary units in the group algeb...
We study group algebras FG for which the symmetric units under the natural involution: g 17 = g 121 ...
Let $RG$ be the gruop ring of the group $G$ over ring $R$ and $U(RG)$ be its unitgroup. In this pape...
Abstract. Let p be an odd prime, D2p be the dihedral group of order 2p, and F2 be the finite field w...