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math.GR2026
On second maximal subgroups of finite groups
Timothy C. Burness, Hangyang Meng
A second maximal subgroup of a finite group is a subgroup that is maximal in every maximal overgroup of in . We prove that every maximal subgroup of a prime-index su…
math.GR2026
On the regularity of irreducible subgroups of finite classical groups
Timothy C. Burness, Lei Wang
Let be a finite group and let be a -tuple of core-free subgroups of . We say that is regular if contains elements such…