Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


The essential ideal is a Cohen-Macaulay module

Author: David J. Green
Journal: Proc. Amer. Math. Soc. 133 (2005), 3191-3197
MSC (2000): Primary 20J06; Secondary 13C14
Published electronically: May 9, 2005
MathSciNet review: 2160180
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $G$ be a finite $p$-group which does not contain a rank two elementary abelian $p$-group as a direct factor. Then the ideal of essential classes in the mod-$p$ cohomology ring of $G$is a Cohen-Macaulay module whose Krull dimension is the $p$-rank of the centre of $G$. This basically answers in the affirmative a question posed by J. F. Carlson (Question 5.4 in Problems in the calculation of group cohomology, 1999).

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 20J06, 13C14

Retrieve articles in all journals with MSC (2000): 20J06, 13C14

Additional Information

David J. Green
Affiliation: Department of Mathematics, University of Wuppertal, D-42097 Wuppertal, Germany

PII: S 0002-9939(05)07887-1
Received by editor(s): February 27, 2004
Received by editor(s) in revised form: June 24, 2004
Published electronically: May 9, 2005
Communicated by: Paul Goerss
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia