Nilpotency degree of cohomology rings in characteristic 3
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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 $\xi ^{3}\ne 0$.References
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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
- Received by editor(s): February 21, 2000
- Received by editor(s) in revised form: June 12, 2000
- Published electronically: May 23, 2001
- Communicated by: Stephen D. Smith
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 307-310
- MSC (2000): Primary 20J06; Secondary 20D15, 55R40
- DOI: https://doi.org/10.1090/S0002-9939-01-06036-1
- MathSciNet review: 1862106
Dedicated: To Phuong and Nin