Relating the Farrell Nil-groups to the Waldhausen Nil-groups

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dc.creatorLafont, J. -F.
dc.creatorOrtiz, I. J.
dc.date2006-09-25
dc.date.accessioned2026-07-07T09:46:57Z
dc.date.available2026-07-07T09:46:57Z
dc.descriptionWe prove that the Waldhausen Nil-group associated to a virtually cyclic groups that surjects onto the infinite dihedral group vanishes if and only if the corresponding Farrell Nil-group associated to the canonical index two subgroup is trivial. The proof uses the transfer map to establish one direction, and uses controlled pseudo-isotopy techniques of Farrell-Jones to establish the reverse implication.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0609711
dc.identifierhttp://arxiv.org/abs/math/0609711
dc.identifierForum Math. 20 (2008), pgs. 445-455
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163707
dc.subjectK-Theory and Homology
dc.subjectGeometric Topology
dc.titleRelating the Farrell Nil-groups to the Waldhausen Nil-groups
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