Towards the inductive Galois-McKay Condition for groups of type A / von Sonia Petschick. Wuppertal, 2026
Inhalt
- 1 Character theory and the Galois–McKay conjecture
- 1.A Character theory
- 1.A.1 Complex representations and characters
- 1.A.2 Construction of new characters
- 1.A.3 Character values
- 1.B The McKay and Galois–McKay conjectures and inductive conditions
- 2 Extension maps and Galois automorphisms
- 3 Finite groups of Lie type
- 3.A Classification of finite simple groups
- 3.B Linear algebraic groups and groups of Lie type
- 3.C The classification of semisimple algebraic groups
- 3.D Finite groups of Lie type
- 3.E Sylow -subgroups and d-tori
- 4 Conditions for Equivariance
- 4.A Number-theoretical observations
- 4.B Comparing outer automorphisms
- 4.C Approaching the equivariance statement
- 5 The global condition A()Ht
- 6 Local conditions for type A in the doubly regular case
- 6.A Structure of the normalizer and the centralizer in the doubly regular case
- 6.B Construction of an equivariant extension map
- 6.C Action on the relative Weyl Group
- 6.D Construction of the transversal
- 6.E From the twisted group to the non-twisted
- 7 Local conditions in type A
- Bibliography