A simple construction of virtually free Abelian triangles of finite groups
β Scribed by Paul R. Brown
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 44 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0166-8641
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β¦ Synopsis
A virtually torsion free, non-positively curved polygon of finite groups has virtual cohomological dimension two. In this paper, the assumption of non-positive curvature is dropped, and a simple construction is used to obtain a triangle of finite groups which is virtually Z k , 2 < k < β.
π SIMILAR VOLUMES
We prove that a finitely generated group G is virtually free if and only if there exists a generating set for G and ΠΊ > 0 such that all k-locally geodesic words with respect to that generating set are geodesic.
We show that two free actions of a finite abelian group (of orientation preserving homeomorphisms) on a handlebody are equivalent. Moreover, the free genus of such a group is determined. Ophrations libres de groupes abbliens finis sur des bretaels ## R&urn& Duns cette Note, on demontre que deux