## The poset of elementary abelian subgroups of rank at least 2

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).

Published in:
Guido's Book of Conjectures, 41-45
Year:
2008
Publisher:
Genève, L'Enseignement Mathématique
Laboratories: