Timeline for Solvability of finite groups of order coprime to 15 -- proof without using CFSG?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Oct 6, 2013 at 22:16 | comment | added | Geoff Robinson | No, I meant what I sai. I think Glauberman published an AMS Monograph on S_4-free group. Clearly, an S_3-free group is S_4 free, so Glauberman's S_4-free classification includes the classification of S_3-free groups. | |
| Oct 6, 2013 at 21:21 | comment | added | Stefan Kohl♦ | @Geoff: Thanks for your remark! -- By the way, is it possible that you rather mean ${\rm S}_3$-free groups than ${\rm S}_4$-free ones? | |
| Oct 6, 2013 at 21:16 | comment | added | Geoff Robinson | Glauberman's classification of S_4-free groups was definitely published. Also, a simple group of minimal order subject to having order prime to 3 has every proper subgroup solvable, so is an $N$-group, and would appear in Thompson's (published) list of $N$-groups, so the answer is yes on the basis of published results. | |
| Jul 16, 2013 at 23:27 | comment | added | Stefan Kohl♦ | Taking into account the suggestions on Meta (meta.mathoverflow.net/questions/493/…), I have turned Derek's comment into an answer. This is mainly to make clear that the question has already been answered. | |
| Jul 16, 2013 at 23:22 | vote | accept | Stefan Kohl♦ | ||
| S Jul 16, 2013 at 23:21 | history | answered | Stefan Kohl♦ | CC BY-SA 3.0 | |
| S Jul 16, 2013 at 23:21 | history | made wiki | Post Made Community Wiki by Stefan Kohl♦ |