4 papers
Zeros of characters and orders of elements in finite groups
Gunter Malle, Gabriel Navarro, Pham Huu Tiep
We investigate a beautiful conjecture of T. Wilde on character values and element orders of finite groups. We reduce it to a statement on nearly simple groups that can be checked `…
Principal blocks, irreducible restriction, fields and degrees
Richard Lyons, J. Miquel MartÃnez, Gabriel Navarro +1
Several recent problems in the representation theory of finite groups require determining whether certain characters of almost simple groups belong to the principal block. Since th…
A reduction theorem for the Feit conjecture
Robert Boltje, Alexander Kleshchev, Gabriel Navarro +1
We prove that if all the simple groups involved in a finite group satisfy the `inductive Feit condition', then Walter Feit's conjecture from 1980 holds for . In particular,…
Finite groups whose real irreducible representations have unique dimensions
Thomas Breuer, Frank Calegari, Silvio Dolfi +2
We determine the finite groups whose real irreducible representations have different degrees.