Timeline for Infinite dimensional homology and spectral sequences
Current License: CC BY-SA 4.0
2 events
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| Mar 10, 2023 at 16:03 | comment | added | Dave Benson | You can use exactly this technique to prove the following, that I needed for a paper I'm currently writing. Let $G$ be a finite group, $k$ a field of characteristic $p$ dividing $|G|$, and $M$ a $kG$-module. If Tate cohomology $\hat H^n(G,M)$ is infinite dimensional for some $n\in{\mathbb Z}$ then it's infinite dimensional for infinitely many $n$, both positive and negative. In fact, there can't be long gaps where it's finite dimensional. | |
| Mar 10, 2023 at 12:20 | history | answered | Dave Benson | CC BY-SA 4.0 |