3 papers
math.RT2026
Real 2-blocks in quasi-simple groups
John Revere McHugh, A. A. Schaeffer Fry
We determine which quasi-simple groups have a non-principal -block that is stable under complex conjugation. As a corollary, we determine that the Mathieu group is the…
math.RT2025
Towards the inductive McKay--Navarro Condition for groups of Lie type
Lucas Ruhstorfer, A. A. Schaeffer Fry, Britta Späth +1
We gather tools for proving the inductive McKay--Navarro (or Galois--McKay) condition for groups of Lie type and odd primes. We use this to establish a bijection in the case of qua…
math.GR2024
A normal version of Brauer's height zero conjecture
Alexander Moretó, A. A. Schaeffer Fry
The celebrated Itô-Michler theorem asserts that a prime does not divide the degree of any irreducible character of a finite group if and only if has a normal and abeli…