Homological stability for classical groups

Autor:	Essert, Jan
Rok vydání:	2009
Předmět:	Mathematics - K-Theory and Homology Mathematics - Group Theory 20J05 (Primary) 20E42 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: 30 pages; shortened homology part, polishing
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0905.0071 Zobrazit plný text záznamu View this record from Arxiv