Add to ORKGAbstract. Let G denote the projective special linear group PSL(2; q), for a prime power q. It is shown that a nite 2-subgroup of the group V(ZG) of augmentation 1 units in the integral group ring ZG of G is isomorphic to a subgroup of G. Furthermore, it is shown that a composition factor of a nite subgroup of V(ZG) is isomorphic to a subgroup of G. 1
AbstractLet G be any group with n elements, where n is a power of a prime or any product of prime po...
Let G be a finite group, pi (G) be the set of primes p such that G contains an element of order p an...
AbstractIn this paper, we show that for every finite group with cyclic Sylow p-subgroups the princip...
[[abstract]]In the 1960's, H. Zassenhaus made three conjectures about torsion units and finite subgr...
of the integral group ring Z(G) of a finite group G. We prove that if G is nilpotent of class two, a...
We restrict the types of 2 × 2-matrix rings which can occur as simple components in the Wedderburn ...
AbstractLet G be a finite group and U = U(ℤG) be the unit group of the integral group ring ℤG. Let H...
peer reviewedWe restrict the types of 2 × 2-matrix rings which can occur as simple components in the...
In this article we construct free groups and subgroups of finite index in the unit group of the inte...
AbstractWe give a list of finite groups containing all finite groups G such that the group of units ...
A. Weiss proved in [16] that for a p-group G and a nite subgroup U of the units of augmentation 1 of...
We explore a method to obtain presentations of the group of units of an integral group ring of some ...
Abstract. For any nite group G the group U(Z[G]) of units in the integral group ring Z[G] is an arit...
This is a short survey in which some questions related to the Zassenhaus Conjecture on finite subgro...
AbstractLet VZG (respectively, VQG) denote the group of units of augmentation 1 in the integral (res...
AbstractLet G be any group with n elements, where n is a power of a prime or any product of prime po...
Let G be a finite group, pi (G) be the set of primes p such that G contains an element of order p an...
AbstractIn this paper, we show that for every finite group with cyclic Sylow p-subgroups the princip...
[[abstract]]In the 1960's, H. Zassenhaus made three conjectures about torsion units and finite subgr...
of the integral group ring Z(G) of a finite group G. We prove that if G is nilpotent of class two, a...
We restrict the types of 2 × 2-matrix rings which can occur as simple components in the Wedderburn ...
AbstractLet G be a finite group and U = U(ℤG) be the unit group of the integral group ring ℤG. Let H...
peer reviewedWe restrict the types of 2 × 2-matrix rings which can occur as simple components in the...
In this article we construct free groups and subgroups of finite index in the unit group of the inte...
AbstractWe give a list of finite groups containing all finite groups G such that the group of units ...
A. Weiss proved in [16] that for a p-group G and a nite subgroup U of the units of augmentation 1 of...
We explore a method to obtain presentations of the group of units of an integral group ring of some ...
Abstract. For any nite group G the group U(Z[G]) of units in the integral group ring Z[G] is an arit...
This is a short survey in which some questions related to the Zassenhaus Conjecture on finite subgro...
AbstractLet VZG (respectively, VQG) denote the group of units of augmentation 1 in the integral (res...
AbstractLet G be any group with n elements, where n is a power of a prime or any product of prime po...
Let G be a finite group, pi (G) be the set of primes p such that G contains an element of order p an...
AbstractIn this paper, we show that for every finite group with cyclic Sylow p-subgroups the princip...