I know that the Monster group is the largest sporadic finite simple group. Is there any simple presentation of the Monster group? $79$ relators or less is preferable.
2026-03-26 03:12:39.1774494759
What is a simple (not many relators) presentation of the Monster group?
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If you want to work with elements of the monster group, don't use $196882×196882$ binary matrices – or any explicit presentation for that matter. The main problem is that said group has no small linear representations.
Martin Seysen's mmgroup package efficiently represents monster group elements as words on $7$ generators with reduction rules good enough to multiply random group elements in about $50$ milliseconds. Use this instead.