## Elementary abelian subgroups in p-groups with a cyclic derived group

Let p be an arbitrary prime and let P be a finite p-group. The general objective of this paper is to obtain refined information on the homotopy type of the poset of all non-trivial elementary abelian subgroups of P, ordered by inclusion, and the poset of all elementary abelian subgroups of P of rank at least 2.

Published in:
Journal of Algebra, 335, 301-318
Year:
2011
Publisher:
Elsevier
ISSN:
0021-8693
Keywords:
Laboratories: