Timeline for Torsion-free, normal subgroups of certain Coxeter groups
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 18, 2016 at 12:13 | comment | added | Nikolas Breuckmann | The book and the references therein were very helpful. Thanks again. | |
| Apr 18, 2016 at 12:07 | vote | accept | Nikolas Breuckmann | ||
| Apr 12, 2016 at 22:56 | comment | added | Dima Pasechnik | it depends; if I recall correctly, $\sqrt{2}$ appears when you work with crystallographic groups. You will find all the details in the book I cited, or in one of their papers. Here is another work of this kind : sciencedirect.com/science/article/pii/S019688580400003X | |
| Apr 12, 2016 at 22:27 | comment | added | Nikolas Breuckmann | Thank you for your response. I will have a look at the reference you gave. Regarding the construction; the representation in Mennickes paper kind of falls from the sky. I assume he got it by considering the Klein-model of $\mathbb{H}^2$ and working out the reflections there. What is mysterious to me is how does one enforce getting only integers in the representation. Follow up question: why do we adjoin $\sqrt{2}$ in your example? Is there a recipe for finding these representations? Thank you! | |
| Apr 12, 2016 at 20:56 | history | edited | Dima Pasechnik | CC BY-SA 3.0 |
added 163 characters in body
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| Apr 12, 2016 at 20:43 | history | answered | Dima Pasechnik | CC BY-SA 3.0 |