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

 

Nilpotency degree of cohomology rings in characteristic 3


Author: Pham Anh Minh
Journal: Proc. Amer. Math. Soc. 130 (2002), 307-310
MSC (2000): Primary 20J06; Secondary 20D15, 55R40
Published electronically: May 23, 2001
MathSciNet review: 1862106
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Abstract: The purpose of this note is to provide a $3$-group $\mathcal{G}$ whose mod-3 cohomology ring has a nilpotent element $\xi \in H^{*}(\mathcal{G})$satisfying $\xi ^{3}\ne 0$.


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Additional Information

Pham Anh Minh
Affiliation: Department of Mathematics, College of Sciences, University of Hue, Dai hoc Khoa hoc, Hue, Vietnam
Address at time of publication: 53 Craig Road, Stockport SK4 2AP, England
Email: paminh@dng.vnn.vn

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06036-1
PII: S 0002-9939(01)06036-1
Received by editor(s): February 21, 2000
Received by editor(s) in revised form: June 12, 2000
Published electronically: May 23, 2001
Dedicated: To Phuong and Nin
Communicated by: Stephen D. Smith
Article copyright: © Copyright 2001 American Mathematical Society