Sean Eberhard

activity

20162023

most citedThe trivial lower bound for the girth of

S_{n}

4 citations · 11 across the 5 of their papers we have counts for

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Showing 2023 · math.GRShow all

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math.GR2023

Diameter of classical groups generated by transvections

Sean Eberhard

Let $G$ be a finite classical group generated by transvections, i.e., one of $SL_{n} (q)$ , $SU_{n} (q)$ , $Sp_{2 n} (q)$ , or $\operatorname{O}^\…

math.GR2023

Dixon's asymptotic without CFSG

Sean Eberhard

Without using the classification of finite simple groups, we show that the probability that two random elements of $S_{n}$ generate a primitive group smaller than $A_{n}$ is at most $\…