8 papers
Network Topology Reconfiguration: Optimal Transition Planning
Basel Morsy, Jochen Stiasny, Adolfo Anta +1
Network topology reconfiguration (NTR) can reduce power system operating costs by co-optimizing generation dispatch and substation switching, but the reported savings describe a ta…
Galois automorphisms and blocks covering unipotent blocks
L. Ruhstorfer, A. A. Schaeffer Fry
In this paper we prove that a recent condition of Lyons--MartÃnez--Navarro--Tiep, regarding the field of values of extensions of characters in principal blocks, is satisfied for a…
Galois action on the principal block and generation of Sylow 3-subgroups
Eden Ketchum, J. Miquel MartÃnez, Noelia Rizo +1
In this paper, we prove one direction of a conjecture of Navarro-Rizo-Schaeffer Fry-Vallejo positing an algorithm to determine from the character table whether a finite group has $…
Sylow subgroups and the number of irreducible characters of degrees divisible by a prime
James P. Cossey, Mark L. Lewis, A. A. Schaeffer Fry +1
Let be a finite group and a prime. We establish an upper bound for the derived length of a Sylow -subgroup of in terms of the number of irreducible characters of …
The Picky Conjecture for groups of Lie type
Gunter Malle, A. A. Schaeffer Fry
Recently, Moretó and Rizo proposed a conjecture, known as the Picky Conjecture, proposing new character correspondences extending the McKay Conjecture. We prove the Picky Conjectu…
The Isaacs--Navarro Galois conjecture
L. Ruhstorfer, A. A. Schaeffer Fry
We prove the original Galois refinement of the McKay conjecture, proposed by Isaacs--Navarro in 2002, providing an important subcase of the celebrated McKay--Navarro conjecture wit…