Let ZG be the integral group ring of the finite nonabelian group G over the ring of integers Z, and let * be an involution of ZG that extends one of G. If x and y are elements of G, we investigate when pairs of the form (u(k,m)(x*), u(k,m)(x*)) or (u(k,m)(x), u(k,m)(y)), formed respectively by Bass cyclic and *-symmetric Bass cyclic units, generate a free noncyclic subgroup of the unit group of ZG
In this article we construct free groups and subgroups of finite index in the unit group of the inte...
Extending an idea of Bass, one can construct a large torsion-free group Y(A) of units in the integra...
In this article we construct free groups and subgroups of finite index in the unit group of the int...
Let ZG be the integral group ring of the finite nonabelian group G over the ring of integers Z, and ...
Abstract. If ∗ : G → G is an involution on the finite group G, then ∗ extends to an involution on th...
If * : G -> G is an involution on the finite group G, then * extends to an involution on the integra...
If * : G -> G is an involution on the finite group G, then * extends to an involution on the integra...
Abstract. If ∗ : G → G is an involution on the finite group G, then ∗ extends to an involution on th...
If * : G -> G is an involution on the finite group G, then * extends to an involution on the integra...
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...
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 ...
AbstractLet G be a finite group and U = U(ℤG) be the unit group of the integral group ring ℤG. Let H...
In this article we construct free groups and subgroups of finite index in the unit group of the inte...
Extending an idea of Bass, one can construct a large torsion-free group Y(A) of units in the integra...
In this article we construct free groups and subgroups of finite index in the unit group of the int...
Let ZG be the integral group ring of the finite nonabelian group G over the ring of integers Z, and ...
Abstract. If ∗ : G → G is an involution on the finite group G, then ∗ extends to an involution on th...
If * : G -> G is an involution on the finite group G, then * extends to an involution on the integra...
If * : G -> G is an involution on the finite group G, then * extends to an involution on the integra...
Abstract. If ∗ : G → G is an involution on the finite group G, then ∗ extends to an involution on th...
If * : G -> G is an involution on the finite group G, then * extends to an involution on the integra...
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...
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 ...
AbstractLet G be a finite group and U = U(ℤG) be the unit group of the integral group ring ℤG. Let H...
In this article we construct free groups and subgroups of finite index in the unit group of the inte...
Extending an idea of Bass, one can construct a large torsion-free group Y(A) of units in the integra...
In this article we construct free groups and subgroups of finite index in the unit group of the int...