Scientific article
Open access

Almost all genralized extraspecial p-groups are resistant

ContributorsStancu, Radu
Published inJournal of algebra, vol. 249, no. 1, p. 120-126
Publication date2002

A p-group P is called resistant if, for any finite group G having P as a Sylow p-subgroup, the normalizer NG(P) controls p-fusion in G. The aim of this paper is to prove that any generalized extraspecial p-group P is resistant, excepting the case when P = E × A, where A is elementary abelian and E is dihedral of order 8 (when p = 2) or extraspecial of order p3 and exponent p (when p is odd). This generalizes a result of Green and Minh.

Citation (ISO format)
STANCU, Radu. Almost all genralized extraspecial p-groups are resistant. In: Journal of algebra, 2002, vol. 249, n° 1, p. 120–126. doi: 10.1006/jabr.2001.9069
Main files (1)
Article (Accepted version)
ISSN of the journal0021-8693

Technical informations

Creation10/28/2010 11:11:00 AM
First validation10/28/2010 11:11:00 AM
Update time03/14/2023 4:08:17 PM
Status update03/14/2023 4:08:17 PM
Last indexation08/28/2023 7:53:22 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack