July 26, 2024Open Access

Non-congruence presentations of finite simple groups

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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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Chen et al. (Fri,) studied this question.

synapsesocial.com/papers/68e5f098b6db643587584c92 https://doi.org/https://doi.org/10.48550/arxiv.2407.19047

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