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Sep 30, 2022 at 10:00 comment added Martin Seysen Altogether I found 5 pairs pairs $(a,b)$ of classes (2B, 3B). The commutator has order 39 in all cases.
Sep 30, 2022 at 7:12 comment added Thomas Have any new pairs been found? @Martin Seysen
Sep 17, 2022 at 11:45 comment added Martin Seysen Computations are still ongoing. I expect to find about one pair per week, and a friend of mine may find about one pair per day with a faster computer. I have not yet looked for pairs $(a,b)$ of classes (2B, 3C), which may exist according to the paper The Monster is a Hurwitz group by R.A. Wilson,
Sep 17, 2022 at 6:00 vote accept Thomas
Sep 17, 2022 at 5:59 comment added Thomas This is amazing, thank you! I've had a look through the comments on the github package, that does seem to take quite a while to find a Hurwitz generating set. Are calculations for that sill ongoing? I'd be keen to see if there are other possible generator pairs, with a different order of the commutator.
Sep 13, 2022 at 20:37 history edited Martin Seysen CC BY-SA 4.0
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Sep 13, 2022 at 20:30 history answered Martin Seysen CC BY-SA 4.0