Journal ArticleDOI
Countable torsionFC-groups as automorphism groups
About:
This article is published in Archiv der Mathematik.The article was published on 1984-08-01. It has received 8 citations till now. The article focuses on the topics: Inner automorphism & Outer automorphism group.read more
Citations
More filters
Journal ArticleDOI
A note on groups with countable automorphism groups
Journal ArticleDOI
Some properties of FC-groups which occur as automorphism groups
TL;DR: In this article, it was shown that a countably infinite subdirect product of nontrivial finite groups is not the automorphism group of any group, and it follows that only finitely many of these groups have n-abelian normal subgroups.
Journal ArticleDOI
On torsion in groups whose automorphism groups have finite rank
Journal ArticleDOI
Countable periodic CC -groups as automorphism groups
TL;DR: In this paper, it was shown that if G is a group and Aut is a countable periodic CC -group, then Aut G is FC. But it is not known whether G is an autoregressive group.
References
More filters
Journal ArticleDOI
The Units of Group‐Rings
TL;DR: In this article, the authors studied the problem of unit formation in the ring of rational integers, where the identity of an element in G is always represented by a symbol e. The symbol e, with or without subscripts, will always denote an element.
Book
Homology in Group Theory
TL;DR: In this paper, the lower central series was used for the localization of nilpotent groups in the V with Abelian kernel, which is a special case of homology theory.
Journal ArticleDOI
Torsion-free groups having finite automorphism groups. I
J.T Hallett,K.A Hirsch +1 more
TL;DR: In this paper, the problem of finding a torsion-free abelian group whose automorphism group is a given finite group is discussed, and it is shown that there are uncountably many nonisomorphic groups with the given group A as their automomorphism group.