Let P be a finite p-group. In this note, we prove that the poset of elementary abelian subgroups of P of rank at least 2 has the homotopy type of a wedge of spheres (of possibly different dimensions).
Title
The poset of elementary abelian subgroups of rank at least 2
Published in
Guido's Book of Conjectures
Series
Monographie de l'Enseignement Mathématique, 40
Pages
41-45
Date
2008
Publisher
Genève, L'Enseignement Mathématique
Record creation date
2008-12-16