naa a22 4500 510782159 CHVBK 20180411083251.0 cr unu---uuuuu 180411e20131101xx s 000 0 eng 10.1007/s11856-013-0017-8 doi (NATIONALLICENCE)springer-10.1007/s11856-013-0017-8 Essert Jan Holzhäuser Weg 17, 64807, Dieburg, Germany aut Homological stability for classical groups [Elektronische Daten] [Jan Essert] Associated to every group with a weak spherical Tits system of rank n+1 with an appropriate rank n subgroup, we construct a relative spectral sequence involving group homology of Levi subgroups of both groups. Using the fact that such Levi subgroups frequently split as semidirect products of smaller groups, we prove homological stability results for unitary groups over division rings with infinite centre as well as for special linear and special orthogonal groups over infinite fields. Hebrew University Magnes Press, 2013 Israel Journal of Mathematics Springer US; http://www.springer-ny.com 198/1(2013-11-01), 169-204 0021-2172 198:1<169 2013 198 11856 https://doi.org/10.1007/s11856-013-0017-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-013-0017-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Essert Jan Holzhäuser Weg 17, 64807, Dieburg, Germany aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 198/1(2013-11-01), 169-204 0021-2172 198:1<169 2013 198 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer