Timeline for Normal subgroup of Fitting length i contained in i-th term of upper Fitting series?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 27, 2020 at 16:42 | vote | accept | Armin Weiß | ||
| Jan 19, 2020 at 13:56 | comment | added | Geoff Robinson | Almost any book which treats finite solvable groups in any depth would contain such results (though the proofs might be relegated to the exercises in some cases). | |
| Jan 17, 2020 at 22:55 | answer | added | Chain Markov | timeline score: 1 | |
| Jan 16, 2020 at 18:40 | review | Close votes | |||
| Jan 31, 2020 at 1:28 | |||||
| Jan 16, 2020 at 12:42 | comment | added | Armin Weiß | I see. Thanks! Do you know a good standard reference for these kind of things? | |
| Jan 16, 2020 at 12:14 | comment | added | Geoff Robinson | Yes, it is true. Use induction on the Fitting length of $N$: ,you have done the case of Fitting length $1$. Now note that $N/F(N)$ is isomorphic to a normal subgroup of $G/F(G)$. | |
| Jan 16, 2020 at 12:06 | history | asked | Armin Weiß | CC BY-SA 4.0 |