Timeline for Solvable irreducible subgroups of the $\mathbf{GL}_n$ of $\mathbf{F}_p$ ($p$ prime)
Current License: CC BY-SA 3.0
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| Jun 18, 2016 at 5:03 | history | edited | Chandan Singh Dalawat | CC BY-SA 3.0 |
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| Jun 15, 2016 at 8:03 | comment | added | Geoff Robinson | This argument is basically the same as mine ( and, as I said, is fairly standard. The use of the Frattini argument is implicit in this answer). My argument is slightly more general ( hence might appear a bit more complicated) as it works for $p$-solvable groups ( recall that for a prime $p$, a finite group $G$ is said to be $p$-solvable if and only if all its composition factors are either of order $p$ or of order prime to $p$). | |
| Jun 15, 2016 at 3:19 | history | answered | Chandan Singh Dalawat | CC BY-SA 3.0 |