Scott Harper

activity

20172026

\frac{3}{2}

-generated groups

6 citations · 8 across the 8 of their papers we have counts for

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2 papers · 1 filter

math.GR2022

The spread of finite and infinite groups

Scott Harper

It is well known that every finite simple group has a generating pair. Moreover, Guralnick and Kantor proved that every finite simple group has the stronger property, known as $\fr…

math.GR2022★ 1 cited

Thompson's group $T$ is $\frac{3}{2}$ -generated

Collin Bleak, Scott Harper, Rachel Skipper

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…

The spread of finite and infinite groups

Thompson's group T is 23​-generated

Thompson's group $T$ is $\frac{3}{2}$ -generated