Timeline for index of the subgroup of the mapping class group acting trivially on Z/3Z homology
Current License: CC BY-SA 3.0
6 events
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Oct 13, 2016 at 22:06 | comment | added | Will Sawin | @Mehdi Yeah, that follows directly from the order formula. | |
Oct 13, 2016 at 22:06 | comment | added | Will Sawin | @Mehdi - I don't know. You may need to use multiple references for each of the facts. Wikipedia cites the first subjectivity as Theorem 6.4 of A primer on mapping class groups by Farm and Margalit. The reference for strong approximation appears to be ams.org/mathscinet-getitem?mr=0213361, page 188. For the order of the symplectic group, L. C. Grove's Classical Groups and Geometric Algebra, page 27. | |
Oct 13, 2016 at 22:06 | comment | added | Mehdi Yazdi | I looked up the order formula. I can also get the lower bound 3^{g^2} by the order formula, right? | |
Oct 13, 2016 at 20:40 | comment | added | Mehdi Yazdi | Thanks, @Will . Could you give me a reference please so that I can refer to that in a paper? | |
Oct 13, 2016 at 20:39 | vote | accept | Mehdi Yazdi | ||
Oct 13, 2016 at 20:35 | history | answered | Will Sawin | CC BY-SA 3.0 |