The Lower Algebraic K-Theory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of ZB4(S2)

DOI10.1007/978-3-319-99489-5zbMath1497.20003arXiv1209.4791OpenAlexW2899332680MaRDI QIDQ4583364

John Guaschi, Daniel Juan-Pineda, Silvia Millan-López

Publication date: 28 August 2018

Published in: SpringerBriefs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.4791

zbMATH Keywords

algebraic \(K\)-theoryprojective planeWhitehead groupconjugacy classintegral group ringvirtually cyclic subgroup\(2\)-sphere\(n\)-string (pure) braid groupBass nil group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Connections of group theory with homological algebra and category theory (20J99) (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) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (4)

The conjugacy problem and virtually cyclic subgroups in the Artin braid group quotient \(B_n/[P_{n},P_{n}\)] ⋮ Bredon homology of Artin groups of dihedral type ⋮ On 𝑁𝐾₀ of the group of quaternions ⋮ On the algebraic \(K\)-theory of orientable \(3\)-manifold groups

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