2009/03/11 by Jan Essert, Essert, Jan · 1 citation
Mathematics · #19C09 (Primary) #20E42 #20J06 #FOS: Mathematics #Group Theory (math.GR) #K-Theory and Homology (math.KT) #math.GR #math.KT #msc:19C09 #msc:20E42 #msc:20J06
paper · pdf · doi:10.48550/arxiv.0903.1989
15 pages, substantially improved version, extended to 2-spherical groups of Kac-Moody type
arxiv created 2010/05/04 · arxiv updated 2010/05/05
Wagoner complexes are simplicial complexes associated to groups of Kac-Moody type. They admit interesting homotopy groups which are related to integral group homology if the root datum is of 2-spherical type. We give a general definition of Wagoner complexes, exhibit some simple properties and calculate low dimensional homotopy groups. In addition, we give a definition of affine Wagoner complexes related to groups admitting a root datum with valuation.