Essential cohomology and extraspecial $p$-groups
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Abstract:
Let $p$ be an odd prime number and let $G$ be an extraspecial $p$-group. The purpose of the paper is to show that $G$ has no non-zero essential mod-$p$ cohomology (and in fact that $H^{*}(G,\mathbb {F}_{p})$ is Cohen-Macaulay) if and only if $|G|=27$ and $exp(G)=3$.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, minhp@vol.vnn.vn
- Received by editor(s): September 10, 1999
- Published electronically: November 29, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 1937-1957
- MSC (2000): Primary 20J06; Secondary 20D15, 55R40
- DOI: https://doi.org/10.1090/S0002-9947-00-02689-1
- MathSciNet review: 1813600