Timeline for Normal covering number and maximal cyclic subgroups
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 5, 2017 at 4:35 | comment | added | Timm von Puttkamer | There is a paper by G.A. Miller from 1912 titled "Note on the maximal cyclic subgroups of a group of order $p^m$" that is related | |
| Apr 5, 2017 at 3:59 | comment | added | Alireza Abdollahi | @scalar Please let me know what are the "very little information" that you have have found so far. | |
| Apr 4, 2017 at 21:44 | comment | added | Arturo Magidin | Ah, sorry; I misinterpreted the term, since "abelian cover" is a cover by abelian groups, etc. | |
| Apr 4, 2017 at 21:41 | comment | added | Timm von Puttkamer | Yes, I do not want to assume that the proper subgroups are normal. By a normal cover I do not mean that the subgroups of the cover are normal, only that the set of subgroups constituting the cover is closed under conjugation. | |
| Apr 4, 2017 at 18:58 | comment | added | Arturo Magidin | When you say "additional", I'm guessing you mean additional to being "proper subgroups", and not additional to being "normal proper subgroups"? Because while very group $G$ has a cyclic cover (and hence an abelian cover), not every group has a normal cover, let alone a normal abelian or normal cyclic cover... | |
| Apr 4, 2017 at 17:30 | history | edited | Michael Hardy | CC BY-SA 3.0 |
added 3 characters in body
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| Apr 4, 2017 at 15:22 | history | asked | Timm von Puttkamer | CC BY-SA 3.0 |