9 papers
Degrees of -rational characters and normality of Sylow -subgroups
Silvio Dolfi, Pham Huu Tiep, Yu Zeng
Several refinements of (the normality part of) the celebrated Itô--Michler theorem were obtained during the last two decades, in which the condition of having -degree, for a f…
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 `…
Primes and The Field of Values of Characters
Nguyen N. Hung, Gabriel Navarro, Pham Huu Tiep
Let be a prime. For , the fields of values of the complex irreducible characters of finite groups whose degrees are not divisible by have been classified; for odd prim…
Irreducible restrictions of spin representations of symmetric and alternating groups
Alexander Kleshchev, Lucia Morotti, Pham Huu Tiep
Let be an algebraically closed field and be an almost quasi-simple group. An important problem in representation theory is to classify the subgroups and $\ma…
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,…