Timeline for Is there any need to study Coxeter systems (W,S) with S infinite?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Feb 1, 2013 at 9:37 | comment | added | YCor | This paper arxiv.org/abs/0711.5011 by Dicks and Leary gives a characterization of Coxeter groups with finite virtual cohomological dimension (they include all f.g. ones, so the problem is really about infinitely generated ones). | |
| Feb 1, 2013 at 0:13 | vote | accept | Jim Humphreys | ||
| Jan 31, 2013 at 15:21 | comment | added | YCor | @Jim: yes: this was more an answer to the question in the title than this more specific question. Actually I don't have a very clear meaning what you want to include and discard in "Coxeter group theory", and I guess that if you want to solve the question I point out (which Coxeter groups have infinitely/uncountably many normal subgroup) then you may need a fine study using Coxeter theory. | |
| Jan 31, 2013 at 14:06 | comment | added | Jim Humphreys | @Yves: This is useful information (new to me), though I was wondering more naively about "significant" applications of Coxeter group theory in the infinite rank case relative to problems originating elsewhere. For me the prototypes of such problems occur in Lie theory rather than infinite group theory as such. But the study of Coxeter groups has gradually taken on its own identity, unrelated to Coxeter's geometric work or to Lie theory. | |
| Jan 31, 2013 at 12:58 | history | answered | YCor | CC BY-SA 3.0 |