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math.GT2011
Subgroups of Mod(S) generated by X in {(T_aT_b)^k,(T_bT_a)^k} and Y in {T_a,T_b}
Jamil Mortada
Suppose a and b are distinct isotopy classes of essential simple closed curves in an orientable surface S. Let T_a and T_b represent the respective Dehn twists along a and b. In th…
math.GT2010
Artin Relations in the Mapping Class Group
Jamil Mortada
For every integer l bigger than one, we find elements x and y in the mapping class group of an appropriate orientable surface S, satisfying the Artin relation of length l. That is,…