Timeline for Coxeter group generators
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 5, 2020 at 6:13 | comment | added | YCor | It depends on your meaning of "given Coxeter group" (and maybe of "canonical"). If you start from a group which you only know to be isomorphic to a Coxeter group, the only "canonical" generating subsets should be invariant under automorphism (and hence under conjugation); in practice such generating subsets are very large compared to useful ones. | |
| Mar 6, 2011 at 2:36 | vote | accept | P.H. | ||
| Mar 1, 2011 at 10:45 | answer | added | Tom De Medts | timeline score: 5 | |
| Feb 26, 2011 at 21:55 | answer | added | user6976 | timeline score: 13 | |
| Feb 26, 2011 at 21:46 | comment | added | Jim Humphreys | The notion of "Coxeter group" incorporates a particular choice of generators and relations for the group. Examples show that the underlying abstract group may well be given by two distinct sets of Coxeter data, which in turn complicates the question of studying isomorphisms and automorphisms. So I'm not sure what the question here actually means. Keep in mind that even a finite symmetric group can usually be given by quite different sets of generators and relations, so a Coxeter presentation of that abstract group is rather special. | |
| Feb 26, 2011 at 21:35 | history | asked | P.H. | CC BY-SA 2.5 |