Rational rigidity for \(F_4(p)\)

DOI10.1016/j.aim.2016.07.015zbMath1380.12005arXiv1511.06871OpenAlexW2179781343MaRDI QIDQ317298

Frank Lübeck, Jun Yu, Robert M. Guralnick

Publication date: 30 September 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06871

zbMATH Keywords

rigidityinverse Galois problemLie primitive subgroupsregular unipotent elements

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Maximal subgroups (20E28) Inverse Galois theory (12F12) Exceptional groups (20G41)

Uses Software

• CHEVIE

Cites Work

• Klein four-subgroups of Lie algebra automorphisms
• Intersection cohomology complexes on a reductive group
• The inverse Galois problem for \(\mathrm{PSL}_2(\mathbb {F}_p)\)
• CHEVIE -- A system for computing and processing generic character tables
• Functoriality and the inverse Galois problem. II: Groups of type \(B_n\) and \(G_2\)
• On defining characteristic representations of finite reductive groups.
• Motives with exceptional Galois groups and the inverse Galois problem
• Rational rigidity for
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Functoriality and the inverse Galois problem
• Exceptional groups of Lie type as Galois groups.
• Subgroups of Algebraic Groups Containing Regular Unipotent Elements
• Almost commuting elements in compact Lie groups
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