Volume 9, issue 4 (2005)

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Correction to: Construction of 2–local finite groups of a type studied by Solomon and Benson

Ran Levi and Bob Oliver

Geometry & Topology 9 (2005) 2395–2415

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 2000
Primary: 55R35
Secondary: 55R37, 20D06, 20D20
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Publication
Published: 9 February 2005
Authors
Ran Levi
Department of Mathematical Sciences
Meston Building 339
University of Aberdeen
Aberdeen AB24 3UE
United Kingdom
Bob Oliver
LAGA
Institut Galilée
Av. J-B Clément
93430 Villetaneuse
France