Timeline for Existence (or the number) of generating triple of involutions of $\operatorname{PGL}_2(p)$ with some conditions
Current License: CC BY-SA 4.0
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Jun 10, 2020 at 5:40 | comment | added | Groups | Thank you for your answer. However, I think in this case the probabilistic method cannot apply because both $\langle x,z\rangle\cong D_{2(p+1)}$ and $\langle y,z\rangle\cong D_{2(p-1)}$ are maximal in $G$ and we have so many restrictions on the orders of products. | |
Jun 2, 2020 at 7:12 | history | answered | Russ Woodroofe | CC BY-SA 4.0 |