Timeline for a group with all sylow p subgroups cyclic
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
Commonmark migration
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| Mar 29, 2013 at 6:54 | vote | accept | Tom | ||
| Mar 26, 2013 at 1:40 | comment | added | user6976 | @Tom: It should be an easy exercise to describe all these groups and to figure out when they are cyclic or Abelian (which I do not have time to solve right now) because the the automorphism groups of cyclic groups are known. | |
| Mar 26, 2013 at 1:26 | comment | added | Tom | @Nick,Mark:Is there a classification of Sylow-cyclic groups in which cases they are cyclic or noncyclic? | |
| Mar 25, 2013 at 13:59 | comment | added | Nick Gill | @Mark, you're right. And, thinking about it, it's easy to prove by considering $F^*(G)$. In light of this, it is perhaps surprising that Holder's result is still referenced. (I read about Holder's result, when I was investigating almost Sylow-cyclic groups, and didn't realise that a stronger statement was so easy.) | |
| Mar 25, 2013 at 11:28 | comment | added | user6976 | @Nick: Isn't every group with all Sylow subgroups cyclic cyclic-by-cyclic? I seem to remember this result from the first group theory course. | |
| Mar 25, 2013 at 9:49 | history | answered | Nick Gill | CC BY-SA 3.0 |