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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