Timeline for $G$-module structure of the relation module for a presentation of a finite group $G$
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Feb 22 at 21:53 | comment | added | Andy Putman | I don't know the literature about integral results very well, but I'm certain that it depends on the surjection. For cyclic $G$ it is not hard to check that it is integrally $\mathbb{Z}[G]^{n-1} \oplus \mathbb{Z}$. | |
| Feb 22 at 20:22 | comment | added | stupid_question_bot | Do you know if anything can be said about the integral structure? Presumably the integral structure depends on the choice of surjection $F_n\to G$? Are there situations where the relation module is known to be integrally $\mathbb{Z}[G]^{n-1}\oplus\mathbb{Z}$? | |
| Feb 22 at 18:16 | vote | accept | stupid_question_bot | ||
| Feb 22 at 12:11 | history | edited | Andy Putman | CC BY-SA 4.0 |
added 590 characters in body
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| Feb 22 at 12:01 | history | answered | Andy Putman | CC BY-SA 4.0 |