Timeline for Small modules over finite group with large cohomology
Current License: CC BY-SA 4.0
5 events
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| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
Commonmark migration
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| Jul 13, 2018 at 8:24 | comment | added | Denis T | Thanks for counterexample! (Yes, just a cyclic module, I was just trying to avoid cramming two slightly different "cyclic" in one sentence.) | |
| Jul 13, 2018 at 8:13 | comment | added | Ehud Meir | By an ideal do you mean a two-sided ideal? Or you just want to speak about a cyclic module? In the second case, consider the following example: $G=S_3$, and $Z[G]/R = M = \mathbb{Z}/6$, where the action of $\tau = (123)$ is trivial, and the action of $\sigma = (12)$ is given by acting with -1. Then the extension $1\to M\to A\to G\to 1$ in which $s(\sigma)^2 = 3\in M$, $s(\tau)^3 = 2\in M$ and $s(\sigma)s(\tau)s(\sigma)^{-1} = s(\tau)^{-1}$ will give you an element of order 6 in $H^2(G,M)$. | |
| Jul 12, 2018 at 17:37 | history | edited | Denis T | CC BY-SA 4.0 |
added 2 characters in body
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| Jul 12, 2018 at 9:15 | history | asked | Denis T | CC BY-SA 4.0 |