Timeline for What methods exist to prove that a finitely presented group is finite?
Current License: CC BY-SA 2.5
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Dec 4, 2009 at 4:00 | comment | added | HJRW | Right. I assumed from the "simple" flavour of your question that you weren't interested in answering your question by looking for infinite quotient/finite overgroups (which is the usual way of approaching these things). Another possibility is that if your kernel satisfies some sort of "small cancellation" condition then you can sometimes prove that the quotient is infinite. But I've no idea how you make that work on a Coxeter group. | |
| Dec 4, 2009 at 2:48 | comment | added | Gabe Cunningham | The groups I'm dealing with right now certainly aren't simple -- each one has at least one known finite quotient -- but I'm interested in the general question anyway. | |
| Dec 4, 2009 at 2:42 | history | edited | HJRW | CC BY-SA 2.5 |
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| Dec 4, 2009 at 2:29 | history | answered | HJRW | CC BY-SA 2.5 |