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A 1-compatibility of a pair of irreducible Type 1 maps.

A 1-compatibility of a pair of irreducible Type 1 maps.

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Figure 1. A 1-compatibility of a pair of irreducible Type 1 maps.
Figure 2. Addition of a g ′ -permutation component to an irreducible...
Figure 4. The curves involved in the star relation in Mod(S 3 1 ).
Figure 5. A chain in the torus.
+1 Figure 8. Decomposition of F for k = 1 into fundamental involutions.
Writing periodic maps as words in Dehn twists
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  • Oct 2020
In this paper, we will discuss procedures for expressing a finite order mapping class as a product of Dehn twists, up to conjugacy. These algorithms are based on the chain and star relations in the mapping class group, the geometric realizations of torsion elements of the mapping class group, and the symplectic representations of the mapping class...
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