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Large maximal subgroups of almost simple classical groups

Published 29 Jun 2025 in math.GR | (2506.23048v1)

Abstract: A proper subgroup $H$ in a finite group $G$ is said to be large if $|H|3\geq |G|$. 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.

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