Linearly Bounded Conjugator Property for Mapping Class Groups

Jing Tao

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arXiv · 1106.2341

Linearly Bounded Conjugator Property for Mapping Class Groups

Jing Tao

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Abstract

Given two conjugate mapping classes f and g, we produce a conjugating element w such that |w| < K(|f|+|g|), where |.| denotes the word metric with respect to a fixed generating set, and K is a constant depending only on the generating set. As a consequence, the conjugacy problem for mapping class groups is exponentially bounded.

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BibTeX RIS

Jing Tao. 2012-11-02. Linearly Bounded Conjugator Property for Mapping Class Groups. https://arxiv.org/abs/1106.2341

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