Subgroups of $SL_2(\mathbb{Z})$ characterized by certain continued fraction representations

28 Jan 2020 Han Sandie Masuda Ariane M. Singh Satyanand Thiel Johann

For positive integers $u$ and $v$, let $L_u=\begin{bmatrix} 1 & 0 \\ u & 1 \end{bmatrix}$ and $R_v=\begin{bmatrix} 1 & v \\ 0 & 1 \end{bmatrix}$. Let $S_{u,v}$ be the monoid generated by $L_u$ and $R_v$, and $G_{u,v}$ be the group generated by $L_u$ and $R_v$... (read more)

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Categories


  • GROUP THEORY
  • NUMBER THEORY