1 citations · 2 across the 9 of their papers we have counts for
9 papers
Galois action on the principal block and generation of Sylow 3-subgroups
Eden Ketchum, J. Miquel Martínez, 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 $…
Principal blocks, irreducible restriction, fields and degrees
Richard Lyons, J. Miquel Martínez, 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…
Sum of the squares of the -character degrees
Nguyen N. Hung, J. Miquel Martínez, Gabriel Navarro
We study the sum of the squares of the irreducible character degrees not divisible by some prime , and its relationship with the the corresponding quantity in a -Sylow normal…
The continuity of -rationality of characters and the principal block
Gunter Malle, J. Miquel Martínez, Carolina Vallejo
We study rationality properties of irreducible characters of finite groups. We show that the continuity of -rationality is a phenomenon that can be detected in the principal …
Character degrees and local subgroups revisited
J. Miquel Martínez
Let and be different primes and let be a finite -solvable group. We prove that if and only if $\mathbf{N}_G(P)\s…
On almost -rational characters in principal blocks
Attila Maróti, J. Miquel Martínez, A. A. Schaeffer Fry +1
Let p be a prime. In this paper we provide a lower bound for the number of almost p-rational characters of degree coprime to p in the principal p-block of a finite group of order d…
The Alperin Weight Conjecture and the Glauberman correspondence via character triples
J. Miquel Martínez, N. Rizo, D. Rossi
Recently, G. Navarro introduced a new conjecture that unifies the Alperin Weight Conjecture and the Glauberman correspondence into a single statement. In this paper, we reduce this…
The blocks with five irreducible characters
J. Miquel Martínez, Noelia Rizo, Lucia Sanus
Let be a finite group, a prime and a Brauer -block of with defect group . We prove that if the number of irreducible ordinary characters in is then $D…
The blocks with four irreducible characters
J. Miquel Martínez, Noelia Rizo, Lucía Sanus
Suppose that is a Brauer -block with defect group . If exactly contains 4 irreducible characters, then we show that has order 4 or 5, assuming the Alperin--McKay…