AbstractIn this note we shall construct a finite group G which has an automorphism α, which is not inner; however, the induced automorphism on SG is inner, where S is the ring of algebraic integers in a suitably chosen algebraic number field. A consequence of our arguments is that α is inner in KG for every field K
EnUnlike finite fields, finite semifields possess inner automorphisms. A further surprise is that ev...
Burnside posed the question as to whether or not there exist groups having an external automorphism ...
Let G be a nitely generated group and let C* denote the group of all central automorphisms of G xing...
AbstractIn this note we shall construct a finite group G which has an automorphism α, which is not i...
AbstractFor a finite group G, and a commutative ring R, the automorphisms of G inducing an inner aut...
of the integral group ring Z(G) of a finite group G. We prove that if G is nilpotent of class two, a...
summary:Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G}(N)\leq N$. It is shown...
AbstractFor a finite group G, and a commutative ring R, the automorphisms of G inducing an inner aut...
The inner automorphisms of a group G can be characterized within the category of groups without refe...
Abstract: The inner automorphisms of a group G can be characterized within the category of groups wi...
The outer automorphism group of a group is the factor of the automorphism group by the inner automor...
We show that every automorphism of the group Gn := Aut(An) of polynomial automorphisms of complex af...
AbstractIn this paper, we discuss two cases where all C-automorphisms are inner; therefore, the norm...
This thesis contributes to the integral representation theory of groups. Topics treated include: the...
summary:Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G}(N)\leq N$. It is shown...
EnUnlike finite fields, finite semifields possess inner automorphisms. A further surprise is that ev...
Burnside posed the question as to whether or not there exist groups having an external automorphism ...
Let G be a nitely generated group and let C* denote the group of all central automorphisms of G xing...
AbstractIn this note we shall construct a finite group G which has an automorphism α, which is not i...
AbstractFor a finite group G, and a commutative ring R, the automorphisms of G inducing an inner aut...
of the integral group ring Z(G) of a finite group G. We prove that if G is nilpotent of class two, a...
summary:Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G}(N)\leq N$. It is shown...
AbstractFor a finite group G, and a commutative ring R, the automorphisms of G inducing an inner aut...
The inner automorphisms of a group G can be characterized within the category of groups without refe...
Abstract: The inner automorphisms of a group G can be characterized within the category of groups wi...
The outer automorphism group of a group is the factor of the automorphism group by the inner automor...
We show that every automorphism of the group Gn := Aut(An) of polynomial automorphisms of complex af...
AbstractIn this paper, we discuss two cases where all C-automorphisms are inner; therefore, the norm...
This thesis contributes to the integral representation theory of groups. Topics treated include: the...
summary:Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G}(N)\leq N$. It is shown...
EnUnlike finite fields, finite semifields possess inner automorphisms. A further surprise is that ev...
Burnside posed the question as to whether or not there exist groups having an external automorphism ...
Let G be a nitely generated group and let C* denote the group of all central automorphisms of G xing...
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