English

Large maximal subgroups of almost simple classical groups

Group Theory 2025-07-01 v1

Abstract

A proper subgroup HH in a finite group GG is said to be large if H3G|H|^3\geq |G|. In this paper, we determined all large maximal subgroups of almost simple classical groups. Combined with the work of Alavi and Burness (J. Algebra 421 (2015) 187--233) and Alavi, Bayat, and Daneshkhah (J. Algebraic Combin. 55 (2022) 729--779), this completes the classification of all large maximal subgroups of almost simple groups.

Keywords

Cite

@article{arxiv.2506.23048,
  title  = {Large maximal subgroups of almost simple classical groups},
  author = {Fu-Gang Yin and Ting Lan and Weijun Liu and Oujie Chen},
  journal= {arXiv preprint arXiv:2506.23048},
  year   = {2025}
}
R2 v1 2026-07-01T03:38:08.819Z