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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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Geometry & Topology 9 (2005)
2395–2415
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Abstract
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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.
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Keywords
classifying space, p–completion,
finite groups, fusion
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Mathematical Subject Classification
Primary: 55R35
Secondary: 20D06, 20D20, 55R37
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Publication
Published: 9 February 2005
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