Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4597444 | Journal of Pure and Applied Algebra | 2009 | 12 Pages |
Abstract
We consider 2-local geometries and other subgroup complexes for sporadic simple groups. For six groups, the fixed point set of a noncentral involution is shown to be equivariantly homotopy equivalent to a standard geometry for the component of the centralizer. For odd primes, fixed point sets are computed for sporadic groups having an extraspecial Sylow pp-subgroup of order p3p3, acting on the complex of those pp-radical subgroups containing a pp-central element in their centers. Vertices for summands of the associated reduced Lefschetz modules are described.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
John Maginnis, Silvia Onofrei,