Felipe Román, María José; Sotomayor, Víctor(Editorial Universitat Politècnica de València, 2018-09-26)
[EN] The subject Algebraic Methods and their Applications of the Master in Mathematical Research is focused on showing the applicability that some abstract algebraic structures have in various scientific areas, in both ...
Ortiz Sotomayor, Víctor Manuel(Universitat Politècnica de València, 2016-07-20)
[EN] The purpose of this work is to analyze results on the overall structure of a factorised group from certain information about the sizes of the conjugacy classes of some elements of its factors.
Ortiz Sotomayor, Víctor Manuel(Universitat Politècnica de València, 2019-09-02)
[ES] Un problema clásico en la teoría de grupos finitos es el estudio de cómo los tamaños de las clases de conjugación influyen sobre la estructura del grupo. En las últimas décadas, numerosos investigadores han obtenido ...
[EN] Let G be a finite group, and let ¿ be a set of primes. The aim of this paper is to obtain
some results concerning how much information about the ¿-structure of G can be
gathered from the knowledge of the sizes of ...
[EN] Let G be a finite group, and let Delta(G) be the prime graph built on its set of conjugacy class sizes: this is the (simple undirected) graph whose vertices are the prime numbers dividing some conjugacy class size of ...
[EN] Let G be a finite group, and let Delta(G) be the prime graph built on the set of conjugacy class sizes of G: this is the simple undirected graph whose vertices are the prime numbers dividing some conjugacy class size ...
Felipe, María José; Sotomayor, Víctor(Universitat Politècnica de València, 2018-07-31)
[EN] In this paper we show how to model and to analyse the solubility of some puzzles, brainteasers and other mathematical toys. We make use of basic group theory concepts and the computational algebraic system GAP(Groups, ...
[ES] En la literatura, diversos autores han analizado cómo la ubicación de los estudiantes en el aula afecta a su rendimiento académico y motivación durante las clases. En esta línea, cabe destacar que se han detectado ...
[EN] Let G be a finite group. Denoting by cd(G) the set of degrees of the irreducible complex characters of G, we consider the character degree graph of G: this is the (simple undirected) graph whose vertices are the prime ...
Felipe Román, María Josefa; Monserrat Delpalillo, Francisco José; Sotomayor, Víctor(Facultad de Ciencias. Departamento de Matemáticas Fundamentales. UNED, 2019)
[ES] Los rápidos avances científico-tecnológicos determinan un constante y raudo cambio tanto en la vida cotidiana como en la percepción del mundo que nos rodea, lo cual implica una necesidad de adaptación del conocimiento ...
Felipe Román, María Josefa; Pérez-Ramos, M. D.; Sotomayor, Víctor(Informa UK (National Inquiry Services Center), 2023-04-03)
[EN] Let N be a normal subgroup of a finite group G. From a result due to Brauer, it can be derived that the character table of G contains square submatrices which are induced by the G-conjugacy classes of elements in N ...
Felipe Román, María Josefa; Kazarin, Lev S.; Martínez-Pastor, Ana; Sotomayor, Víctor(Springer-Verlag, 2020-12)
[EN] Let the group G = AB be the product of subgroupsAandB, and letpbe a prime. We prove thatpdoes not divide the conjugacy class size (index) of eachp-regular element of prime power order x is an element of A boolean OR ...
Felipe Román, María Josefa; Grittini, N.; Sotomayor, Víctor(Springer-Verlag, 2020-10)
[EN] Let N be a normal subgroup of a finite group G. In this paper, we consider the elements g of N such that x(g)¿0 for all irreducible characters x of G. Such an element is said to be non-vanishing in G. Let p be a prime. ...
Felipe Román, María Josefa; Martínez-Pastor, Ana; Sotomayor, Víctor(Springer-Verlag, 2017)
[EN] Let the group G = AB be the product of the subgroups A and B. We determine some structural properties of G when the p-elements in A. B have prime power indices in G, for some prime p. More generally, we also consider ...
Felipe Román, María José; Martínez-Pastor, Ana; Sotomayor, Víctor(Springer-Verlag, 2020-02)
[EN] We provide structural criteria for some finite factorised groups G = AB when the conjugacy class sizes in G of certain pi-elements in A boolean OR B are either pi-numbers or pi'-numbers, for a set of primes pi. In ...
Felipe, María José; Martínez Pastor, Ana; Sotomayor, Víctor(Elsevier, 2017)
[EN] We obtain some structural properties of a factorised group G = AB, given that the conjugacy class sizes of certain elements in A boolean OR B are not divisible by p(2), for some prime p. The case when G = AB is a ...
Sotomayor, Víctor; Felipe Román, María Josefa; Martínez-Pastor, Ana(Springer-Verlag, 2019-02)
[EN] An element g of a finite group G is said to be vanishing inG if there exists an irreducible character of G such that (g)=0; in this case, g is also called a zero of G. The aim of this paper is to obtain structural ...