The Torsion Generating Set Of The Extended Mapping Class Groups In Low\n Genus Cases

2019/01/05 by Xiaoming Du, Du, Xiaoming
Mathematics · Computer Science · #Finite Group Theory Research #Geometric and Algebraic Topology #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.1901.01401

Abstract

We prove that for genus g=3,4, the extended mapping class group\n\Mod^\±(S_g) can be generated by two elements of finite orders. But\nfor g=1, \Mod^\±(S₁) cannot be generated by two elements of\nfinite orders.\n

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