Geometry & Topology

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

Ran Levi and Bob Oliver

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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.

Article information

Source
Geom. Topol., Volume 9, Number 4 (2005), 2395-2415.

Dates
First available in Project Euclid: 20 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.gt/1513799684

Digital Object Identifier
doi:10.2140/gt.2005.9.2395

Subjects
Primary: 55R35: Classifying spaces of groups and $H$-spaces
Secondary: 55R37: Maps between classifying spaces 20D06: Simple groups: alternating groups and groups of Lie type [See also 20Gxx] 20D20: Sylow subgroups, Sylow properties, $\pi$-groups, $\pi$-structure

Keywords
classifying space $p$–completion finite groups fusion

Citation

Levi, Ran; Oliver, Bob. Correction to: Construction of 2–local finite groups of a type studied by Solomon and Benson. Geom. Topol. 9 (2005), no. 4, 2395--2415. doi:10.2140/gt.2005.9.2395. https://projecteuclid.org/euclid.gt/1513799684


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