Lower algebraicK-theory of certain reflection groups

DOI10.1017/S0305004109990363zbMath1190.19001arXiv0904.0054OpenAlexW2162555659MaRDI QIDQ3550749

Bruce A. Magurn, Jean-François Lafont, Ivonne Johanna Ortiz

Publication date: 6 April 2010

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0054

zbMATH Keywords

Coxeter groupshyperbolic reflection groupsFarrell-Jones isomorphism conjecturelower algebraic \(K\)-theoryBass Nil-groupsdeodesic polyhedrarelative assembly maps

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Polyhedra and polytopes; regular figures, division of spaces (51M20) (K_0) of group rings and orders (19A31) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (K_1) of group rings and orders (19B28) Negative (K)-theory, NK and Nil (19D35)

Related Items (4)

The Whitehead group of (almost) extra-special \(p\)-groups with \(p\) odd ⋮ Computing Whitehead groups using genetic bases ⋮ On the relative \(K\)-group in the ETNC. III ⋮ Negative K-Theory of Generalized Quaternion Groups and Binary Polyhedral Groups

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