### 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 paper [2], 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)(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 Dywer-Wilkerson space BDI(4). An error in our paper [2] was pointed out to us by Andy Chermak, and we correct that error here.

Original language | English |
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Pages (from-to) | 2395-2415 |

Number of pages | 20 |

Journal | Geometry & Topology |

Volume | 9 |

DOIs | |

Publication status | Published - 2005 |

### Keywords

- classifying space
- p-completion
- finite groups
- fusion

### Cite this

**Correction to: Construction of 2-local finite groups of a type studied by Solomon and Benson; [Geom. Topol. 6 (2002), 917-990 (electronic)].** / Levi, Ran; Oliver, B.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Correction to: Construction of 2-local finite groups of a type studied by Solomon and Benson; [Geom. Topol. 6 (2002), 917-990 (electronic)]

AU - Levi, Ran

AU - Oliver, B.

PY - 2005

Y1 - 2005

N2 - 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 paper [2], 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)(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 Dywer-Wilkerson space BDI(4). An error in our paper [2] was pointed out to us by Andy Chermak, and we correct that error here.

AB - 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 paper [2], 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)(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 Dywer-Wilkerson space BDI(4). An error in our paper [2] was pointed out to us by Andy Chermak, and we correct that error here.

KW - classifying space

KW - p-completion

KW - finite groups

KW - fusion

U2 - 10.2140/gt.2005.9.2395

DO - 10.2140/gt.2005.9.2395

M3 - Article

VL - 9

SP - 2395

EP - 2415

JO - Geometry & Topology

JF - Geometry & Topology

SN - 1364-0380

ER -