Groups with boundedly finite automorphism classes (Q795926)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Groups with boundedly finite automorphism classes |
scientific article; zbMATH DE number 3863464
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups with boundedly finite automorphism classes |
scientific article; zbMATH DE number 3863464 |
Statements
Groups with boundedly finite automorphism classes (English)
0 references
1984
0 references
If G is a group then Aut G acts on G and on the set of subgroups of G. The orbits are called automorphism classes of elements, resp. subgroups. The authors give criteria for a group G to have boundedly finite automorphism classes of elements or of subgroups. A simple proof of a theorem of \textit{R. Baer} [J. Reine Angew. Math. 262/263, 93-119 (1973; Zbl 0275.20079)] is given and cohomological methods used to obtain the main results. No information is given about groups in which the automorphism classes are finite but possibly unbounded.
0 references
automorphism groups
0 references
BFC-groups
0 references
centre-by-finite groups
0 references
boundedly finite automorphism classes
0 references
0 references
