Timeline for groups of order $ p(p^2-1) / 4 $ where $p$ is a prime
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Jul 9, 2014 at 10:21 | comment | added | Peter Mueller | I think that one does not need CFSG. $G$ is not $3$-transitive (because its order is too small), so the point stabilizer $G_1$ of degree $p$ is not $2$-transitive. Thus, by Burnside, $G_1=\mathbb F_p\rtimes C$, where $C$ is the subgroup of order $(p-1)/4$ of $\mathbb F_p^\star$. From here, either the techniques of transitive extensions should work; or if that doesn't, we simply note that $G_1$ is Frobenius, so $G$ is a Zassenhaus group. The latter ones got classified without CFSG. | |
| Jul 9, 2014 at 8:14 | vote | accept | BHZ | ||
| Jul 9, 2014 at 8:12 | history | answered | Derek Holt | CC BY-SA 3.0 |