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arXiv · 2407.19047

Non-congruence presentations of finite simple groups

William Y. Chen·Alexander Lubotzky·Pham Huu Tiep
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Abstract

We prove two results on some special generators of finite simple groups and use them to prove that every non-abelian finite simple group $S$ admits a non-congruence presentation (as conjectured in [CLT24]), and that if $S$ has a non-trivial Schur multiplier, then it admits a smooth cover (as conjectured in [CFLZ]).

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William Y. Chen, Alexander Lubotzky, Pham Huu Tiep. 2024-07-26. Non-congruence presentations of finite simple groups. https://arxiv.org/abs/2407.19047

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