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Extensions of characters of discrete torsion-free nilpotent groups
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Veröffentlicht/Copyright:
8. September 2005
Abstract
Extensions of characters of a discrete, torsion-free, nilpotent group to characters of some of its supergroups in its Mal’tsev completion are examined. Some sufficient conditions, as well as some necessary conditions, for extensibility are provided. In particular, the situation for nilpotent groups of class 2 is discussed.
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Published Online: 2005-09-08
Published in Print: 2005-09-19
Walter de Gruyter GmbH & Co. KG
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Artikel in diesem Heft
- Abelian subgroups of small index in finite p-groups
- Non-divisibility among character degrees
- Some remarks on the k(GV ) theorem
- On formations with the Kegel property
- Good tori in groups of finite Morley rank
- The existence of Carter subgroups in groups of finite Morley rank
- Extensions of characters of discrete torsion-free nilpotent groups
- Modules of type FP2 over the integral group algebra of a metabelian group
Artikel in diesem Heft
- Abelian subgroups of small index in finite p-groups
- Non-divisibility among character degrees
- Some remarks on the k(GV ) theorem
- On formations with the Kegel property
- Good tori in groups of finite Morley rank
- The existence of Carter subgroups in groups of finite Morley rank
- Extensions of characters of discrete torsion-free nilpotent groups
- Modules of type FP2 over the integral group algebra of a metabelian group