Mathematics – Algebraic Topology
Scientific paper
2003-01-09
Geom. Topol. 6(2002) 917-990; Erratum: Geom. Topol. 9(2005) 3001-21 (temporary page numbers)
Mathematics
Algebraic Topology
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper28.abs.html Version 2 (11 Feb 2005) Erra
Scientific paper
A p-local finite group is an algebraic structure with a classifying space which has many of the properties of p-completed classifying spaces of finite groups. In this paper, we construct a family of 2-local finite groups, which are exotic in the following sense: they are based on certain fusion systems over the Sylow 2-subgroup of Spin_7(q) (q an odd prime power) shown by Solomon not to occur as the 2-fusion in any actual finite group. Thus, the resulting classifying spaces are not homotopy equivalent to the 2-completed classifying space of any finite group. As predicted by Benson, these classifying spaces are also very closely related to the Dwyer-Wilkerson space BDI(4). Erratum (11 Feb 2005). An error in the paper was pointed out to the authors by Andy Chernak. The error is corrected in the erratum at the end of version 2, which should be read alongside the paper.
Levi Ran
Oliver Bob
No associations
LandOfFree
Construction of 2-local finite groups of a type studied by Solomon and Benson does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Construction of 2-local finite groups of a type studied by Solomon and Benson, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Construction of 2-local finite groups of a type studied by Solomon and Benson will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-725093