Timeline for Does a non-simple perfect group always have a maximal subgroup whose derived subgroup has nontrivial core?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Apr 23, 2022 at 18:01 | history | bounty ended | Leyli Jafari | ||
| Apr 21, 2022 at 19:08 | vote | accept | Leyli Jafari | ||
| Apr 20, 2022 at 19:52 | comment | added | Richard Lyons | Well, the top composition factor would be one of Thompson's $N$-groups, and their character tables are known, so if there's a similar counterexample, one could in principle find it. | |
| Apr 20, 2022 at 9:04 | comment | added | Leyli Jafari | Thanks a lot for your counterexample! Can you tell whether the answer to the question would get positive if one replaces non-simple perfect group by non-simple minimal non-solvable group? | |
| Apr 18, 2022 at 21:39 | history | edited | Richard Lyons | CC BY-SA 4.0 |
Added initial sentence.
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| Apr 18, 2022 at 16:09 | comment | added | Richard Lyons | @YCor: Good point, but the character is in fact rational-valued, and Schur indices are trivial over finite fields. | |
| Apr 18, 2022 at 16:04 | comment | added | YCor | If the character is not defined over $\mathbf{Q}$, the set of possible $p$ might be smaller than a subset of finite complement of the set of primes. However it should be a set of positive density in any case (by Chebotarev). | |
| Apr 18, 2022 at 15:47 | history | answered | Richard Lyons | CC BY-SA 4.0 |