Timeline for Finite groups whose Carter subgroups are the Sylow 2-Subgroups
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 11, 2017 at 16:39 | comment | added | Richard Lyons | A structure theorem for finite nonsolvable groups with a maximal Sylow $2$-subgroup was proved by Bernd Baumann, J. Alg. 38 #1 (1976). | |
| Nov 18, 2016 at 19:49 | answer | added | zibadawa timmy | timeline score: 4 | |
| Nov 18, 2016 at 18:21 | vote | accept | maryam | ||
| Nov 18, 2016 at 18:02 | comment | added | Geoff Robinson | I think that that these minimal groups in particular have a maximal Sylow $2$-subgroup, and I do think that groups with a maximal Sylow $2$-subgroups may be attackable as I suggested above. | |
| Nov 18, 2016 at 17:55 | comment | added | maryam | @Geoff, thaks. I am not familar with Aschbacher theorem. At least do you think is it possible to characterize groups are minimal with respect to this property? I mean groups contain self-normalizing 2-sylow subgroup but every subgroup does not contain such subgroup. | |
| Nov 18, 2016 at 17:14 | history | edited | Stefan Kohl♦ | CC BY-SA 3.0 |
Language editing; added references.
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| Nov 18, 2016 at 17:01 | answer | added | Stefan Kohl♦ | timeline score: 1 | |
| Nov 18, 2016 at 15:43 | comment | added | Geoff Robinson | To expand: a first step might be to consider finite groups in which Sylow $2$-subgroup is maximal, where the Theorem of Aschbacher mentioned above shoudl certainly be helpful. | |
| Nov 18, 2016 at 15:40 | comment | added | Geoff Robinson | You are asking to classify finite groups with a self-normalizing Sylow $2$-subgroup. The so-called $C(G,T)$-Theorem of M. Aschbacher may be relevant here. | |
| Nov 18, 2016 at 15:24 | history | asked | maryam | CC BY-SA 3.0 |