Timeline for Groups whose normal subgroups form a chain with respect to inclusion
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Apr 25, 2023 at 9:41 | comment | added | Kasper Andersen | Another relevant post seems to be mathoverflow.net/questions/50864/… | |
| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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| Mar 15, 2011 at 13:13 | comment | added | Amin | @ Tobias If you take G = A4, the alternating group of order 12, then it satisfies the above hypotheses . However, A4 is not supersolvable. Your assertion is true with the additional condition that Z(G) > 1. | |
| Mar 15, 2011 at 13:02 | vote | accept | Amin | ||
| Mar 15, 2011 at 13:02 | comment | added | Amin | @Jack Thank you very much for references. | |
| Mar 15, 2011 at 9:24 | comment | added | Tobias Kildetoft | If a group with this property is solvable, it is also supersolvable, since all the normal subgroups are characteristic. The chief series then has factors of prime order and is unique (a group with this property has a unique minimal non-trivial normal subgroup). | |
| Mar 14, 2011 at 21:52 | comment | added | Jack Schmidt | Pazderski's ams.org/mathscinet-getitem?mr=755313 also describes these groups from a different perspective. Maybe it would also focus the search in mathoverflow.net/questions/58059/… | |
| Mar 14, 2011 at 21:38 | history | answered | Jack Schmidt | CC BY-SA 2.5 |