Relating the Farrell Nil-groups to the Waldhausen Nil-groups
نویسندگان
چکیده
منابع مشابه
Relating the Farrell Nil-groups to the Waldhausen Nil-groups
Every virtually cyclic group Γ that surjects onto the infinite dihedral group D∞ contains an index two subgroup Π of the form H ⋊α Z. We show that the Waldhausen Nil-group of Γ vanishes if and only if the Farrell Nil-group of Π vanishes. 1. Statement of results. The Bass Nil-groups, Farrell Nil-groups, and Waldhausen Nil-groups appear respectively as pieces in the computation of the algebraicK-...
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2008
ISSN: 0933-7741,1435-5337
DOI: 10.1515/forum.2008.022