#### 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 ${Spin}_{7}\left(q\right)$ ($q$ 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 $BDI\left(4\right)$. 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
##### 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