Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Martínez, J. Miquel"'
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 divisible by p. We further describe the p-local structure of the groups
Externí odkaz:
http://arxiv.org/abs/2401.09224
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 problem to simple groups and prove it for several classes of groups a
Externí odkaz:
http://arxiv.org/abs/2311.05536
Let $G$ be a finite group, $p$ a prime and $B$ a Brauer $p$-block of $G$ with defect group $D$. We prove that if the number of irreducible ordinary characters in $B$ is $5$ then $D\cong C_5, C_7, D_8$ or $Q_8$, assuming that the Alperin--McKay conjec
Externí odkaz:
http://arxiv.org/abs/2306.04267
Autor:
Martínez, J. Miquel
We describe finite groups whose principal block contains only characters of prime power degree.
Comment: Minor corrections
Comment: Minor corrections
Externí odkaz:
http://arxiv.org/abs/2303.13888
Autor:
Martìnez, J. Miquel, Rossi, Damiano
Let p be a prime, B a p-block of a finite group G and b its Brauer correspondent. According to the Alperin-McKay Conjecture, there exists a bijection between the set of irreducible ordinary characters of height zero of B and those of b. In this paper
Externí odkaz:
http://arxiv.org/abs/2204.10124
A recent question of Gabriel Navarro asks whether it is true that the derived length of a defect group is less than or equal to the number of degrees of irreducible characters in a block. In this article, we bring new evidence towards the validity of
Externí odkaz:
http://arxiv.org/abs/2110.13227
Suppose that $B$ is a Brauer $p$-block with defect group $D$. If $B$ exactly contains 4 irreducible characters, then we show that $D$ has order 4 or 5, assuming the Alperin--McKay conjecture.
Comment: There is a gap in the final step
Comment: There is a gap in the final step
Externí odkaz:
http://arxiv.org/abs/2109.10654
Autor:
Martínez, J. Miquel
Recently, G. Mason has produced a counterexample of order 128 to a conjecture in conformal field theory and tensor category theory in [Ma]. Here we easily produce an infinite family of counterexamples, the smallest of which has order 72.
Comment
Comment
Externí odkaz:
http://arxiv.org/abs/1910.10293
Publikováno v:
In Journal of Algebra 15 March 2022 594:170-193
