تقرير
Thompson's group $T$ is $\frac{3}{2}$-generated
| العنوان: | Thompson's group $T$ is $\frac{3}{2}$-generated |
|---|---|
| المؤلفون: | Bleak, Collin, Harper, Scott, Skipper, Rachel |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory |
| الوصف: | Every finite simple group can be generated by two elements and, in fact, every nontrivial element is contained in a generating pair. Groups with this property are said to be $\frac{3}{2}$-generated, and the finite $\frac{3}{2}$-generated groups were recently classified. Turning to infinite groups, in this paper, we prove that the finitely presented simple group $T$ of Thompson is $\frac{3}{2}$-generated. Moreover, we exhibit an element $\zeta \in T$ such that for any nontrivial $\alpha \in T$, there exists $\gamma \in T$ such that $\langle \alpha, \zeta^\gamma \rangle = T$. Comment: 11 pages; to appear in Israel Journal of Mathematics |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2206.05316 |
| رقم الأكسشن: | edsarx.2206.05316 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |