## On a Family of Subgroups of the TeichmÃ¼ller Modular Group of Genus Two Obtained from the Jones Representation

J. Math. Sci. Univ. Tokyo
Vol. 4 (1997), No. 2, Page 403--415.

Morishita, Masanori
On a Family of Subgroups of the TeichmÃ¼ller Modular Group of Genus Two Obtained from the Jones Representation
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Abstract:
We study the image of the reduction of the specialized Jones representation of the TeichmÃ¼ller modular group $Î$ of genus 2. As a result, we give a family of normal subgroups of $Î$ with finite unitary groups as quotients. We also show that they do not contain the Torelli subgroup of $Î$.

Mathematics Subject Classification (1991): Primary 20F34; Secondary 20F38
Mathematical Reviews Number: MR1466353