  Brown has defined the generalised Thompson's group $F_n$, $T_n$, where $n$ is
an integer at least $2$ and Thompson's groups $F= F_2$ and $T =T_2$ in the
80's. Burillo, Cleary and Stein have found that there is a quasi-isometric
embedding from $F_n$ to $F_m$ where $n$ and $m$ are positive integers at least
2. We show that there is a quasi-isometric embedding from $T_n$ to $T_2$ for
any $n \geq 2$ and no embeddings from $T_2$ to $T_n$ for $n \geq 3$.
