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Relating the Farrell Nil-groups to the Waldhausen Nil-groups
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Published/Copyright:
May 23, 2008
Abstract
Every virtually cyclic group Γ that surjects onto the infinite dihedral group D∞ contains an index two subgroup ∏ of the form 
We show that the Waldhausen Nil-group of Γ vanishes if and only if the Farrell Nil-group of ∏ vanishes.
2000 Mathematics Subject Classification: 19D35.
Received: 2006-08-05
Accepted: 2006-09-25
Published Online: 2008-05-23
Published in Print: 2008-05-01
© Walter de Gruyter
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Articles in the same Issue
- Realization of graded-simple algebras as loop algebras
- Cyclic coverings and Seshadri constants on smooth surfaces
- Relating the Farrell Nil-groups to the Waldhausen Nil-groups
- Unoriented geometric functors
- The second main theorem for holomorphic curves into semiabelian varieties II
- Weinberg's theorem, Elliott's ultrasimplicial property, and a characterisation of free lattice-ordered Abelian groups
- Tamely ramified covers of varieties and arithmetic schemes
- Fractional estimates for non-differentiable elliptic systems with general growth
- The linear constraints in Poincaré and Korn type inequalities
