Timeline for Finite groups with integral character table
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 18, 2022 at 4:33 | vote | accept | Sebastien Palcoux | ||
| Aug 17, 2022 at 21:08 | comment | added | Sebastien Palcoux | In my comment above, $ord(g)$ should be replace by $\varphi(ord(g))$, otherwise it is just Lagrange theorem... | |
| Aug 17, 2022 at 8:26 | comment | added | YCor | Oh, I've just mentioned this fact above (I didn't know this fact but it's a straightforward observation). | |
| Aug 17, 2022 at 8:16 | comment | added | Sebastien Palcoux | I found a very strong result in the book your cited (Corollary 12): let $G$ be a $\mathbb{Q}$-group and let $g \in G$, then $ord(g)$ divides $|G|$. In particular, for every prime divisor $p$ of $|G|$ then $p-1$ divides $|G|$. So if $G$ is not trivial then it must be of even order. | |
| Aug 17, 2022 at 7:42 | history | edited | Alex B. | CC BY-SA 4.0 |
fixed a typo, clarified an argument
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| Aug 17, 2022 at 7:17 | history | edited | Alex B. | CC BY-SA 4.0 |
added 301 characters in body
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| Aug 17, 2022 at 7:11 | history | answered | Alex B. | CC BY-SA 4.0 |