Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
Capability of nilpotent products of cyclic groups
-
Arturo Magidin
Veröffentlicht/Copyright:
18. November 2005
Abstract
A group is called capable if it is a central factor group. We consider the capability of nilpotent products of cyclic groups, and obtain a generalization of a theorem of Baer for the small class case. The approach is also used to obtain some recent results on the capability of certain nilpo tent groups of class 2. We also establish a necessary condition for the capability of an arbitrary p -group of class k, and some further results.
:
Published Online: 2005-11-18
Published in Print: 2005-07-20
Walter de Gruyter GmbH & Co. KG
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Tri-extraspecial groups
- On commutators in p-groups
- Capability of nilpotent products of cyclic groups
- Products of characters and derived length. II
- Character degree graphs, blocks and normal subgroups
- Reflection triangles in Coxeter groups and biautomaticity
- On algebraic sets over metabelian groups
- Bounded automorphisms and quasi-isometries of finitely generated groups
- Pattern recognition and minimal words in free groups of rank 2
Artikel in diesem Heft
- Tri-extraspecial groups
- On commutators in p-groups
- Capability of nilpotent products of cyclic groups
- Products of characters and derived length. II
- Character degree graphs, blocks and normal subgroups
- Reflection triangles in Coxeter groups and biautomaticity
- On algebraic sets over metabelian groups
- Bounded automorphisms and quasi-isometries of finitely generated groups
- Pattern recognition and minimal words in free groups of rank 2
