Timeline for Schur index of a representation and its divisors
Current License: CC BY-SA 4.0
5 events
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May 4, 2019 at 9:25 | history | edited | Alex B. | CC BY-SA 4.0 |
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May 4, 2019 at 9:24 | comment | added | Alex B. | You are absolutely right, I was too hasty. I will leave this up, so that others don't repeat my mistake. | |
May 4, 2019 at 2:04 | comment | added | Soluble | I think there are examples of groups, in which, if the Schur index of an absolutely irreducible character is $m$, and if we consider fields $\mathbb{Q}(\chi)\subset \mathbb{Q}(\zeta)$ where $\zeta$ is primitive $|G|$-th root of $1$, then in between these two fields, there is no splitting field for $\chi$ whose degree over $\mathbb{Q}(\chi)$ is equal to $m$. | |
May 3, 2019 at 23:43 | history | edited | Alex B. | CC BY-SA 4.0 |
added 101 characters in body
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May 3, 2019 at 22:52 | history | answered | Alex B. | CC BY-SA 4.0 |