Timeline for Does any finite group of order $2m$ with odd $m$ have a subgroup of index 2? [closed]
Current License: CC BY-SA 4.0
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Oct 24, 2023 at 14:39 | history | closed |
verret Max Horn Dave Benson Daniele Tampieri Mikhail Katz |
Not suitable for this site | |
Oct 20, 2023 at 19:15 | review | Close votes | |||
Oct 24, 2023 at 14:43 | |||||
Oct 20, 2023 at 18:30 | comment | added | Keith Kearnes | This is Exercise 4.2.13 of 'Abstract Algebra, 3rd ed.' by David S. Dummit and Richard M. Foote. Many solutions for exercises in this text are online. For this exercise, see linearalgebras.com/… | |
Oct 20, 2023 at 10:57 | comment | added | Mikhail Borovoi | @YCor: Thank you! I never know which question is suitable for MO and which for MSE. Feel free to vote to migrate to MSE or to close as duplicate. | |
Oct 20, 2023 at 9:40 | comment | added | YCor | This is a classical one. See for instance this MathSE post and this one. I guess it also appeared on MO many times. For instance, in this MO answer, it is explained that the same signature argument shows that if the 2-Sylow of $G$ are cyclic and nontrivial then $G$ has a subgroup of index 2. | |
Oct 20, 2023 at 7:26 | vote | accept | Mikhail Borovoi | ||
Oct 20, 2023 at 7:14 | answer | added | Peter Mueller | timeline score: 7 | |
Oct 20, 2023 at 6:49 | history | asked | Mikhail Borovoi | CC BY-SA 4.0 |