On Self-Normalising Sylow $2$-Subgroups in Type A

zbMath1483.20011arXiv1701.00272MaRDI QIDQ4636814

Jay Taylor, Amanda A. Schaeffer Fry

Publication date: 20 April 2018

Full work available at URL: https://arxiv.org/abs/1701.00272

zbMATH Keywords

Sylow 2-subgroupsfinite groupsGalois-McKay conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Representations of finite groups of Lie type (20C33)

Related Items (16)

Galois-equivariant McKay bijections for primes dividing \(q - 1\) ⋮ Trivial source endo-trivial modules for finite groups with semi-dihedral Sylow 2-subgroups ⋮ 2-Brauer correspondent blocks with one simple module ⋮ Characters of \(\pi'\)-degree and small cyclotomic fields ⋮ Galois group action and Jordan decomposition of characters of finite reductive groups with connected center ⋮ The Navarro-Tiep Galois conjecture for \(p=2\) ⋮ The continuity of 𝑝-rationality and a lower bound for 𝑝’-degree characters of finite groups ⋮ Representations of finite groups. Abstracts from the workshop held April 16--21, 2023 ⋮ Galois automorphisms and classical groups ⋮ Galois action on the principal block and cyclic Sylow subgroups ⋮ Groups with few \(p'\)-character degrees ⋮ The fields of values of characters of degree not divisible byp ⋮ Fields of character values for finite special unitary groups ⋮ Galois automorphisms on Harish-Chandra series and Navarro’s self-normalizing Sylow $2$-subgroup conjecture ⋮ Fields of values of odd-degree irreducible characters ⋮ Characters and generation of Sylow 2-subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characters of odd degree
• Characters of relative \(p^\prime\)-degree over normal subgroups
• Representations of reductive groups over finite fields
• Unipotent elements of finite groups of Lie type and realization fields of their complex representations.
• Nilpotent orbits in good characteristic and the Kempf-Rousseau theory
• Nilpotent orbits over ground fields of good characteristic
• Equivariant character correspondences and inductive McKay condition for type \(\mathsf{A}\)
• Brauer characters with cyclotomic field of values.
• A reduction theorem for the McKay conjecture.
• Normalizers of the Sylow 2-subgroups in finite simple groups.
• The McKay conjecture and Galois automorphisms.
• The Sylow 2-subgroups of the finite classical groups
• Odd-Degree Characters and Self-Normalizing Sylow 2-Subgroups: A Reduction to Simple Groups
• GENERALIZED GELFAND–GRAEV REPRESENTATIONS IN SMALL CHARACTERISTICS
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Self-normalizing Sylow subgroups
• 𝑝-rational characters and self-normalizing Sylow 𝑝-subgroups
• Height 0 characters of finite groups of Lie type
• Quasi-Isolated Elements in Reductive Groups
• Irreducible representations of odd degree
• Linear algebraic groups.

This page was built for publication: On Self-Normalising Sylow $2$-Subgroups in Type A