summary:We investigate the Zassenhaus conjecture regarding rational conjugacy of torsion units in integral group rings for certain automorphism groups of simple groups. Recently, many new restrictions on partial augmentations for torsion units of integral group rings have improved the effectiveness of the Luther-Passi method for verifying the Zassenhaus conjecture for certain groups. We prove that the Zassenhaus conjecture is true for the automorphism group of the simple group $\rm PSL(2,11)$. Additionally we prove that the Prime graph question is true for the automorphism group of the simple group $\rm PSL(2,13)$
Electronic version of an article published as Journal of Algebra and its Applications, Volume 15, 1,...
In this paper, we investigate the Zassenhaus conjecture for exceptional groups of lie type $G_2(q)$ ...
We identify all small groups of order up to 288 in the GAP Library for which the Zassenhaus conjectu...
summary:We investigate the Zassenhaus conjecture regarding rational conjugacy of torsion units in in...
summary:We investigate the Zassenhaus conjecture regarding rational conjugacy of torsion units in in...
The final publication is available at Springer via http://dx.doi.org/10.1007/s10587-016-0275-9We pro...
Abstract. It is shown that any torsion unit of the integral group ring ZG of a finite group G is rat...
In this paper, we investigate the Zassenhaus conjecture for $PSL(4,3)$ and $PSL(5,2)$. Consequently,...
Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized...
We investigate the possible character values of torsion units of the normalized unit group of the in...
We investigate the possible character values of torsion units of the normalized unit group of the in...
In this paper, we investigate the Zassenhaus conjecture for $PSL(4,3)$ and $PSL(5,2)$. Consequently,...
We develop a criterion for rational conjugacy of torsion units of the integral group ring ZG of a fi...
AbstractLet G be an extension of an elementary abelian p-group A by an abelian group X with faithful...
Abstract. We prove a conjecture of Zassenhaus that every normalized torsion unit of the integral gro...
Electronic version of an article published as Journal of Algebra and its Applications, Volume 15, 1,...
In this paper, we investigate the Zassenhaus conjecture for exceptional groups of lie type $G_2(q)$ ...
We identify all small groups of order up to 288 in the GAP Library for which the Zassenhaus conjectu...
summary:We investigate the Zassenhaus conjecture regarding rational conjugacy of torsion units in in...
summary:We investigate the Zassenhaus conjecture regarding rational conjugacy of torsion units in in...
The final publication is available at Springer via http://dx.doi.org/10.1007/s10587-016-0275-9We pro...
Abstract. It is shown that any torsion unit of the integral group ring ZG of a finite group G is rat...
In this paper, we investigate the Zassenhaus conjecture for $PSL(4,3)$ and $PSL(5,2)$. Consequently,...
Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized...
We investigate the possible character values of torsion units of the normalized unit group of the in...
We investigate the possible character values of torsion units of the normalized unit group of the in...
In this paper, we investigate the Zassenhaus conjecture for $PSL(4,3)$ and $PSL(5,2)$. Consequently,...
We develop a criterion for rational conjugacy of torsion units of the integral group ring ZG of a fi...
AbstractLet G be an extension of an elementary abelian p-group A by an abelian group X with faithful...
Abstract. We prove a conjecture of Zassenhaus that every normalized torsion unit of the integral gro...
Electronic version of an article published as Journal of Algebra and its Applications, Volume 15, 1,...
In this paper, we investigate the Zassenhaus conjecture for exceptional groups of lie type $G_2(q)$ ...
We identify all small groups of order up to 288 in the GAP Library for which the Zassenhaus conjectu...