AbstractIn this paper, we discuss two cases where all C-automorphisms are inner; therefore, the normalizer property holds for those cases. Our results generalize a result of Marciniak and Roggenkamp. As an application of our theorems, we prove that the normalizer property holds for the integral group ring of a split finite metabelian group with a dihedral Sylow 2-subgroup. Our proofs rely heavily on the method of Marciniak and Roggenkamp
AbstractA knowledge of the simple representation theory of finite abelian groups is useful for under...
We consider the class N of groups in which the normaliser of every subgroup is normal, and the class...
AbstractLet U1(ZG) denote the units of augmentation one of the integral group ring ZG of the finite ...
AbstractIn this paper, we discuss two cases where all C-automorphisms are inner; therefore, the norm...
AbstractWe prove that the normalizer property holds for the integral group ring of a finite Frobeniu...
AbstractLet p be a prime and let G be a finite p-group. We show that if the integral group ring Z[G]...
AbstractFor a finite group G, and a commutative ring R, the automorphisms of G inducing an inner aut...
AbstractFor a finite group G, and a commutative ring R, the automorphisms of G inducing an inner aut...
The norm of a group was introduced by R. Baer as the intersection of all normalizers of subgroups, a...
The norm of a group was introduced by R. Baer as the intersection of all normalizers of subgroups, a...
The norm of a group was introduced by R. Baer as the intersection of all normalizers of subgroups, a...
summary:Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G}(N)\leq N$. It is shown...
Abstract. We prove a conjecture of Zassenhaus that every normalized torsion unit of the integral gro...
Let D be an arbitrary division ring and G a nilpotent subgroup of the multiplicative group D ∗ of D ...
In Chapter 1, we discuss the structure of non-Euclidean Crystallographic (NEC, for short) groups and...
AbstractA knowledge of the simple representation theory of finite abelian groups is useful for under...
We consider the class N of groups in which the normaliser of every subgroup is normal, and the class...
AbstractLet U1(ZG) denote the units of augmentation one of the integral group ring ZG of the finite ...
AbstractIn this paper, we discuss two cases where all C-automorphisms are inner; therefore, the norm...
AbstractWe prove that the normalizer property holds for the integral group ring of a finite Frobeniu...
AbstractLet p be a prime and let G be a finite p-group. We show that if the integral group ring Z[G]...
AbstractFor a finite group G, and a commutative ring R, the automorphisms of G inducing an inner aut...
AbstractFor a finite group G, and a commutative ring R, the automorphisms of G inducing an inner aut...
The norm of a group was introduced by R. Baer as the intersection of all normalizers of subgroups, a...
The norm of a group was introduced by R. Baer as the intersection of all normalizers of subgroups, a...
The norm of a group was introduced by R. Baer as the intersection of all normalizers of subgroups, a...
summary:Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G}(N)\leq N$. It is shown...
Abstract. We prove a conjecture of Zassenhaus that every normalized torsion unit of the integral gro...
Let D be an arbitrary division ring and G a nilpotent subgroup of the multiplicative group D ∗ of D ...
In Chapter 1, we discuss the structure of non-Euclidean Crystallographic (NEC, for short) groups and...
AbstractA knowledge of the simple representation theory of finite abelian groups is useful for under...
We consider the class N of groups in which the normaliser of every subgroup is normal, and the class...
AbstractLet U1(ZG) denote the units of augmentation one of the integral group ring ZG of the finite ...
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