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

DOI10.1515/FORUM.2008.022zbMath1147.19005arXivmath/0609711OpenAlexW2135766772MaRDI QIDQ3516718

Jean-François Lafont, Ivonne Johanna Ortiz

Publication date: 11 August 2008

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609711

zbMATH Keywords

Waldhausen Nil groupsBass Nil Groups

Mathematics Subject Classification ID

(K_1) of group rings and orders (19B28) Negative (K)-theory, NK and Nil (19D35)

Related Items

The Whitehead group and the lower algebraic \(K\)-theory of braid groups on \(\mathbb S^{2}\) and \(\mathbb R P^{2}\), Algebraic \(K\)-theory over the infinite dihedral group: an algebraic approach, Lower algebraicK-theory of certain reflection groups

Cites Work

• Ends of Maps. II
• The topological-Euclidean space form problem
• Algebraic K-theory of generalized free products. I
• The functors \(K_{-i}\) and pseudo-isotopies of polyhedra
• Algebraic K-theory of generalized free products. II
• Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory
• A split exact sequence of equivariant \(K\)-groups of virtually nilpotent groups
• The lower algebraic \(K\)-theory of virtually infinite cyclic groups
• A formula for the Whitehead group of a three-dimensional crystallographic group
• On the exponent of the cokernel of the forget-control map on K₀-groups
• Isomorphism Conjectures in Algebraic K-Theory
• The Nonfiniteness of Nil