Timeline for Characteristic classes of symmetric group $S_4$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Sep 26, 2023 at 23:07 | comment | added | Dev Sinha | Yes. First, I should have elaborated that the higher torsion is all determined by a result treated very briefly on pages 48-49 of Cohen-Lada-May's book. What I was working on before, but have paused that project, is a conjecture that in cohomology higher torsion all arises from divided powers operations. For $S_4$ this means that there is 4-torsion in degrees which are multiples of 4, powers of $y^2$ using notation from the question above. (E-mail me if you want to know more.) | |
| Sep 25, 2023 at 22:21 | comment | added | Noah B | Is anything known about $H^*(S_4,\mathbb{Z}_4)$? | |
| Jun 22, 2022 at 7:16 | history | edited | CommunityBot |
replaced http://front.math.ucdavis.edu/ with https://arxiv.org/abs/
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| Dec 5, 2019 at 4:36 | comment | added | Chris Gerig | For completeness, Soulé's Proposition 2.iii gives the 2-primary component quotient ring (of the full ring) explicitly, while his Lemma 7 gives the 3-primary quotient ring indirectly in terms of that of $S_3$ (which we can then look up elsewhere), and then we take the product. | |
| Jul 6, 2019 at 20:35 | vote | accept | Bob | ||
| Jul 3, 2019 at 22:47 | comment | added | tj_ | The integral cohomology ring of $S_4$ is known. It's given in the paper of Soule´ on the integral cohomology ring of $SL_3(\mathbb{Z})$. | |
| Jul 3, 2019 at 14:05 | history | edited | Dev Sinha | CC BY-SA 4.0 |
added 29 characters in body
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| Jul 2, 2019 at 17:25 | history | answered | Dev Sinha | CC BY-SA 4.0 |