Spherical posets and homology stability for \(O_ n,\)//n

DOI10.1016/0040-9383(81)90032-XzbMath0455.20031MaRDI QIDQ1150045

Karen Vogtmann

Publication date: 1981

Published in: Topology (Search for Journal in Brave)

zbMATH Keywords

spectral sequencefree resolutionstability theoremorthogonal group of quadratic formacyclic chain complexconnected simplicial complex

Mathematics Subject Classification ID

Related Items (21)

Hyperbolic posets and homology stability for \(O_{n,n}\) ⋮ Projective configurations, homology of orthogonal groups, and Milnor \(K\)-theory ⋮ A homological fibration for \(Gl_\infty\) ⋮ Homology stability for unitary groups. II. ⋮ Linear groups over general rings. I: Generalities. ⋮ Homological stability for classical groups. ⋮ Homological stability for classical groups ⋮ Spherical subcomplexes of spherical buildings ⋮ The Quillen complex of groups of symplectic type: the characteristic 2 case. ⋮ Finiteness properties of groups ⋮ On the problem of homology stability for congruence subgroups ⋮ Homology stability for orthogonal groups over algebraically closed fields ⋮ Spherical posets from commuting elements ⋮ Stability of the homology of the moduli spaces of Riemann surfaces with spin structure ⋮ Homological stabilization for the orthogonal and symplectic groups ⋮ A generalization of a theorem of Vogtmann ⋮ Homology of classical Lie groups made discrete. III ⋮ Homology of the infinite orthogonal and symplectic groups over algebraically closed fields. An appendix to the paper of A. Suslin ⋮ Relations between algebraic K-theory and Hermitian K-theory ⋮ The split building of a reductive group ⋮ On geometric semilattices

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