Geodesic
Correction to: Construction of 2–local finite groups of a type studied by Solomon and Benson
Levi, Ran1 ; Oliver, Bob2
1 Department of Mathematical Sciences, Meston Building 339, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
2 LAGA, Institut Galilée, Av. J-B Clément, 93430 Villetaneuse, France
Geometry & topology, Tome 9 (2005) no. 4, pp. 2395-2415.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2005.9.2395
Keywords: classifying space, $p$–completion, finite groups, fusion

Levi, Ran 1 ; Oliver, Bob 2

1 Department of Mathematical Sciences, Meston Building 339, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
2 LAGA, Institut Galilée, Av. J-B Clément, 93430 Villetaneuse, France 
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Levi, Ran; Oliver, Bob. Correction to: Construction of 2–local finite groups of a type studied by Solomon and Benson. Geometry & topology, Tome 9 (2005) no. 4, pp. 2395-2415. doi : 10.2140/gt.2005.9.2395. http://geodesic.mathdoc.fr/articles/10.2140/gt.2005.9.2395/

[1] W G Dwyer, C W Wilkerson, A new finite loop space at the prime two, J. Amer. Math. Soc. 6 (1993) 37

[2] R Levi, B Oliver, Construction of 2–local finite groups of a type studied by Solomon and Benson, Geom. Topol. 6 (2002) 917

[3] R Solomon, Finite groups with Sylow 2–subgroups of type 3, J. Algebra 28 (1974) 182

[4] M Suzuki, Group theory I, Grundlehren der Mathematischen Wissenschaften, Springer (1982)

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