## Geometry & Topology

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

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

Ran Levi and Bob Oliver

#### 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.

#### 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