Add to ORKGABSTRACT. In this note we investigate the hypercentral units in integral group rings ZG, where G is not necessarily torsion. One of the main results obtained is the following (Theorem 3.5): if the set of torsion elements of G is a subgroup T of G and if Z2(U) is not contained in CU (T), then T is either an Abelian group of exponent 4 or a Q ∗ group. This extends our earlier result on torsion group rings.
We classify groups G such that the unit group U-1 (ZG) is hypercentral. In the second part, we class...
In this note, we describe a simple method for finding units of group rings of the form Z[G] = Z[H]#...
Abstract. It is shown that any torsion unit of the integral group ring ZG of a finite group G is rat...
[[abstract]]In the 1960's, H. Zassenhaus made three conjectures about torsion units and finite subgr...
AbstractLet V = V(Z[G]) denote the group of normalized units in the integral group ring Z[G] of the ...
Abstract. It is shown that for any torsion unit of augmentation one in the integral group ring ZG of...
AbstractWe prove that any torsion unit of the integral group ring ZG is rationally conjugate to a tr...
Extending an idea of Bass, one can construct a large torsion-free group Y(A) of units in the integra...
AbstractLet VZG (respectively, VQG) denote the group of units of augmentation 1 in the integral (res...
AbstractLet U1(ZG) denote the units of augmentation one of the integral group ring ZG of the finite ...
Abstract. In this paper we study the groups G whose integral group rings have hyperbolic unit groups...
In this paper we study the groups G whose integral group rings have hyperbolic unit groups U(ZG). We...
Let VZ G (respectively, VQ G) denote the group of units of augmentation 1 in the integral (respe...
We classify groups G such that the unit group U-1 (ZG) is hypercentral. In the second part, we class...
Let VZ G (respectively, VQ G) denote the group of units of augmentation 1 in the integral (respe...
We classify groups G such that the unit group U-1 (ZG) is hypercentral. In the second part, we class...
In this note, we describe a simple method for finding units of group rings of the form Z[G] = Z[H]#...
Abstract. It is shown that any torsion unit of the integral group ring ZG of a finite group G is rat...
[[abstract]]In the 1960's, H. Zassenhaus made three conjectures about torsion units and finite subgr...
AbstractLet V = V(Z[G]) denote the group of normalized units in the integral group ring Z[G] of the ...
Abstract. It is shown that for any torsion unit of augmentation one in the integral group ring ZG of...
AbstractWe prove that any torsion unit of the integral group ring ZG is rationally conjugate to a tr...
Extending an idea of Bass, one can construct a large torsion-free group Y(A) of units in the integra...
AbstractLet VZG (respectively, VQG) denote the group of units of augmentation 1 in the integral (res...
AbstractLet U1(ZG) denote the units of augmentation one of the integral group ring ZG of the finite ...
Abstract. In this paper we study the groups G whose integral group rings have hyperbolic unit groups...
In this paper we study the groups G whose integral group rings have hyperbolic unit groups U(ZG). We...
Let VZ G (respectively, VQ G) denote the group of units of augmentation 1 in the integral (respe...
We classify groups G such that the unit group U-1 (ZG) is hypercentral. In the second part, we class...
Let VZ G (respectively, VQ G) denote the group of units of augmentation 1 in the integral (respe...
We classify groups G such that the unit group U-1 (ZG) is hypercentral. In the second part, we class...
In this note, we describe a simple method for finding units of group rings of the form Z[G] = Z[H]#...
Abstract. It is shown that any torsion unit of the integral group ring ZG of a finite group G is rat...