新的非自由有理点序列
New sequences of non-free rational points
摘要:
我们给出了$τ$的一些新的有理数的无限族,其中一些是有理数的平方,对于它们,由矩阵$\left( \begin{smallmatrix} 1 & 1 \\ 0 & 1 \end{smallmatrix} \right)$和$\left( \begin{smallmatrix} 1 & 0 \\ τ& 1 \end{smallmatrix} \right)$生成的群甚至半群都不是自由的.
英文摘要:
We exhibit some new infinite families of rational values of $τ$, some of them squares of rationals, for which the group or even the semigroup generated by the matrices $\left( \begin{smallmatrix} 1 & 1 \\ 0 & 1 \end{smallmatrix} \right)$ and $\left( \begin{smallmatrix} 1 & 0 \\ τ& 1 \end{smallmatrix} \right)$ is not free.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。