Timeline for Zero divisors with support of size 3 in group algebras of finite groups
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 1, 2015 at 12:36 | comment | added | Geoff Robinson | Yes, thanks, that's true for $I(G)$ itself- not sure if that makes it clear that the element lies in the intersection of the powers of $I(G)$. I had noticed that that direction works (with my argument) for infinite groups too since $I(G)$ is still an ideal ( if we think of the group algebra as consisting of finitely supported elements) | |
| Sep 1, 2015 at 11:51 | comment | added | Ilya Bogdanov | One may simplify the opposite direction argument by observing that $\mathbb F[G]/I(G)\cong \mathbb F$ via the epimorphism $\sum_{g\in G}\alpha_gg\mapsto \sum_{g\in G}\alpha_g$. This applies to all groups, not only finite ones. | |
| Sep 1, 2015 at 11:37 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
added 340 characters in body
|
| Sep 1, 2015 at 10:19 | history | answered | Geoff Robinson | CC BY-SA 3.0 |