Geometry & Topology 9 (2005) 2395–2415

DOI: 10.2140/gt.2005.9.2395

Correction to Geometry & Topology 6 (2002) 917–990

arXiv: math.AT/0301084

Abstract

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 our earlier paper, we constructed 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 Spin₇(q) (q an odd prime power) shown by Solomon not to occur as the 2–fusion in any actual finite group. As predicted by Benson, the classifying spaces of these 2–local finite groups are very closely related to the Dwyer–Wilkerson space BDI(4). An error in our paper was pointed out to us by Andy Chermak, and we correct that error here.

Keywords

classifying space, p–completion, finite groups, fusion

Mathematical Subject Classification

Primary: 55R35

Secondary: 20D06, 20D20, 55R37

References

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Publication

Published: 9 February 2005

Authors