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

Ran Levi, B. Oliver

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 languageEnglish
Pages (from-to)2395-2415
Number of pages20
JournalGeometry & Topology
Volume9
DOIs
Publication statusPublished - 2005

Keywords

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

Cite this

@article{d3a8797b9c0642de96830e8fd5c1f8bb,
title = "Correction to: Construction of 2-local finite groups of a type studied by Solomon and Benson; [Geom. Topol. 6 (2002), 917-990 (electronic)]",
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.",
keywords = "classifying space, p-completion, finite groups, fusion",
author = "Ran Levi and B. Oliver",
year = "2005",
doi = "10.2140/gt.2005.9.2395",
language = "English",
volume = "9",
pages = "2395--2415",
journal = "Geometry & Topology",
issn = "1364-0380",
publisher = "University of Warwick",

}

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 -