Add to ORKGLet G be a group of odd order that contains a non-central element x whose order is either a prime p >= 5 or 3(l), with l >= 2. Then, in U(ZG), the group of units of ZG, we can find an alternating unit u based on x, and another unit v, which can be either a bicyclic or an alternating unit, such that for all sufficiently large integers m we have that < u(m), v(m)> = < u(m)> * < v(m)> congruent to Z * Z
In the master’s thesis we study finite rings and their groups of units. The invertible elements of a...
Extending an idea of Bass, one can construct a large torsion-free group Y(A) of units in the integra...
AbstractLet G be a finite nilpotent group so that all simple components (D)n × n, n ≥ 2 of QG satisf...
Let G be a group of odd order that contains a non-central element x whose order is either a prime p ...
Let G be a group of odd order that contains a non-central element x whose order is either a prime p ...
Marciniak and Sehgal showed that if u is a non-trivial bicyclic unit of an integral group ring then ...
Let G be a finite group and ZG its integral group ring. We show that if alpha is a nontrivial bicycl...
Let G be a finite group and ZG its integral group ring. We show that if alpha is a nontrivial bicycl...
For a finite abelian group A, the group of units in the integral group ring ZA may be written as th...
Marciniak and Sehgal showed that if u is a non-trivial bicyclic unit of an integral group ring then ...
Marciniak and Sehgal showed that if u is a non-trivial bicyclic unit of an integral group ring then ...
The structure of the unit group consisting of units of finite order in the character ring of a fini...
AbstractWe construct some units of order p in certain p-adic group rings of finite groups, which hav...
In this note, we describe a simple method for finding units of group rings of the form Z[G] = Z[H]#...
If P is a regular prime and A an elementary abelian p-group, every unit in the integral group ring o...
In the master’s thesis we study finite rings and their groups of units. The invertible elements of a...
Extending an idea of Bass, one can construct a large torsion-free group Y(A) of units in the integra...
AbstractLet G be a finite nilpotent group so that all simple components (D)n × n, n ≥ 2 of QG satisf...
Let G be a group of odd order that contains a non-central element x whose order is either a prime p ...
Let G be a group of odd order that contains a non-central element x whose order is either a prime p ...
Marciniak and Sehgal showed that if u is a non-trivial bicyclic unit of an integral group ring then ...
Let G be a finite group and ZG its integral group ring. We show that if alpha is a nontrivial bicycl...
Let G be a finite group and ZG its integral group ring. We show that if alpha is a nontrivial bicycl...
For a finite abelian group A, the group of units in the integral group ring ZA may be written as th...
Marciniak and Sehgal showed that if u is a non-trivial bicyclic unit of an integral group ring then ...
Marciniak and Sehgal showed that if u is a non-trivial bicyclic unit of an integral group ring then ...
The structure of the unit group consisting of units of finite order in the character ring of a fini...
AbstractWe construct some units of order p in certain p-adic group rings of finite groups, which hav...
In this note, we describe a simple method for finding units of group rings of the form Z[G] = Z[H]#...
If P is a regular prime and A an elementary abelian p-group, every unit in the integral group ring o...
In the master’s thesis we study finite rings and their groups of units. The invertible elements of a...
Extending an idea of Bass, one can construct a large torsion-free group Y(A) of units in the integra...
AbstractLet G be a finite nilpotent group so that all simple components (D)n × n, n ≥ 2 of QG satisf...