Generating the Mapping Class Group by Two Torsion Elements

نویسندگان

چکیده

We prove that the mapping class group of a closed connected orientable surface genus $$g\ge 6$$ is generated by two elements order g. Moreover, for 7$$ , we obtain generating set elements, g and $$g'$$ where least divisor greater than 2. also $$g/\gcd (g,k)$$ 3k^2+4k+1$$ any positive integer k.

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ژورنال

عنوان ژورنال: Mediterranean Journal of Mathematics

سال: 2022

ISSN: ['1660-5454', '1660-5446']

DOI: https://doi.org/10.1007/s00009-022-01978-8