Twisted homological stability for extensions and automorphism groups of free nilpotent groups

DOI10.1017/is014005031jkt267zbMath1308.19001arXiv1401.5215OpenAlexW2135225145MaRDI QIDQ2877709

Markus Szymik

Publication date: 25 August 2014

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5215

zbMATH Keywords

homological stabiltiy

Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Stability for linear groups (19B14)

Related Items

The rational stable homology of mapping class groups of universal nil-manifolds ⋮ Boolean algebras, Morita invariance and the algebraic K-theory of Lawvere theories ⋮ GENERALISATIONS OF LODAY’S ASSEMBLY MAPS FOR LAWVERE’S ALGEBRAIC THEORIES ⋮ On the quotients of mapping class groups of surfaces by the Johnson subgroups

Cites Work

• Unnamed Item
• Stabilization for mapping class groups of 3-manifolds
• Die Unterringe der freien Lieschen Ringe
• Decomposition theorem for homology groups of symmetric groups
• Homology stability for \(GL_n\) of a Dedekind domain
• The extension of Johnson's homomorphism from the Torelli group to the mapping class group
• Stability for homology of the general linear group of a local ring
• Equivalence of algebraic K-theories
• Twisted homological stability for general linear groups
• Rational homology of \(\Aut(F_n)\).
• Dold-Kan type theorem for \(\Gamma\)-groups
• Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring
• Homological stability for automorphism groups of free groups
• Representation theory and homological stability.
• \(K\)-theory and stable algebra
• A survey of the Torelli group
• K 0 and K 1 -An Introduction to Algebraic K-Theory
• Cerf Theory for Graphs
• Twisted homology of symmetric groups
• Braid groups and loop spaces