A geometric approach to the lower algebraic K-theory of Fuchsian groups

DOI10.1016/S0166-8641(01)00068-2zbMath1006.19001MaRDI QIDQ1602954

Kimberly Pearson, Ethan Berkove, Daniel Juan-Pineda

Publication date: 24 June 2002

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

\(K\)-theoryWhitehead groupsFuchsian groupsKleinian groups

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) (K_0) of group rings and orders (19A31) (K_1) of group rings and orders (19B28) Negative (K)-theory, NK and Nil (19D35)

Related Items (2)

The Whitehead group and the lower algebraic \(K\)-theory of braid groups on \(\mathbb S^{2}\) and \(\mathbb R P^{2}\) ⋮ Cohomology of Fuchsian groups and non-Euclidean crystallographic groups

Cites Work

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• Ends of Maps. II
• Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory
• Computations of \(K\)- and \(L\)-theory of cocompact planar groups
• Canonical polygons for finitely generated Fuchsian groups
• Homotopy limits, completions and localizations
• Lower k-theory of finite groups
• Isomorphism Conjectures in Algebraic K-Theory
• The Farrell-Jones Isomorphism Conjecture for finite covolume hyperbolic actions and the algebraic $K$-theory of Bianchi groups
• On the spectrum of algebraic 𝐾-theory
• The lower algebraic K-theory of Fuchsian groups

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