Universitat Jaume I

MAT - Métodes Algebraics i Topològics

Coordinació:
Salvador Hernández Muñoz

Dep. de Matemàtiques

Nombre de doctors: 3

Àrees d'aplicació:

Estudiem les propietats d’estructures algebraiques i/o topològiques. Si bé, en principi, la nostra tasca es desenvolupa en el context de la ciència bàsica sense considerar les possibles aplicacions, es pot mencionar que algunes de les estructures que estudiem són essencials en la teoria de la informació, especialment en el tractament de dades, incloent-hi la codificació d’informació i criptografia.

Membres

Línies d'investigació

Personal investigador	Dedicació al grup
Beltrán Felip, Antonio	100 %
Ferrer González, María Vicenta	100 %

Projectes

Organisme	Codi	Títol	Inici	Fi
UJI	UJI-B2019-03	CARACTERES, CONJUGACIÓN Y NORMALIDAD EN GRUPOS FINITOS	01/01/2020	31/12/2022
UJI	UJI-B2019-06	GRUPOS TOPOLÓGICOS Y SUS APLICACIONES	01/01/2020	31/12/2022
UJI	P1·1B2015-77	GRUPOS TOPOLÓGICOS Y SUS APLICACIONES	01/01/2016	31/12/2018

Publicacions i tesis

Articles en revistes

Some problems about products of conjugacy classes in finite groups - Article

Antonio Beltrán Felip, Mª José Felipe, Carmen Melchor Borja.

INTERNATIONAL JOURNAL OF GROUP THEORY; 1 pp. 59-68. (2020). ISSN: 2251-7650

Correction to: A coprime action version of a solubility criterion of Deskins - Material editorial

Antonio Beltrán Felip, Changguo Shao.

MONATSHEFTE FUR MATHEMATIK; 3 pp. 657-660. (2020). ISSN: 0026-9255

Powers of conjugacy classes in a finite group - Article

Antonio Beltrán Felip, Rachel Deborah Camina, M. José Felipe, Carmen Melchor Borja.

ANNALI DI MATEMATICA. PURA ED APPLICATA; 1 pp. 409-424. (2020). ISSN: 0373-3114

On convergent sequences in dual groups - Article

María Vicenta Ferrer González, Salvador Hernández Muñoz, M. Tkachenko.

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS; 2 pp. --. (2020). ISSN: 1578-7303

A classification of the cofinal structures of precompacta - Article

Aviv Eshed, María Vicenta Ferrer González, Salvador Hernández Muñoz, Piotr Szewczak, Boaz Tsaban.

ANNALS OF PURE AND APPLIED LOGIC ; 8 pp. --. (2020). ISSN: 0168-0072

Indices of Maximal Invariant Subgroups and Solvability of Finite Groups - Article

Changguo Shao, Antonio Beltrán Felip.

MEDITERRANEAN JOURNAL OF MATHEMATICS; 3 pp. --. (2019). ISSN: 1660-5446

Orbits of maximal invariant subgroups and solvability of finite groups - Article

Changguo Shao, Antonio Beltrán Felip.

JOURNAL OF ALGEBRA ; 539 pp. 177-200. (2019). ISSN: 0021-8693

Representation of group isomorphisms I - Article

María Vicenta Ferrer González, M. Gary, Salvador Hernández Muñoz.

TOPOLOGY AND ITS APPLICATIONS ; 263 pp. 44-60. (2019). ISSN: 0166-8641

Restrictions on maximal invariant subgroups implying solvability of finite groups - Article

Antonio Beltrán Felip, Changguo Shao.

ANNALI DI MATEMATICA. PURA ED APPLICATA; 2 pp. 357-366. (2019). ISSN: 0373-3114

Conditions for Sylow 2-subgroups of the Fixed Point Subgroup Implying Solubility - Article

Antonio Beltrán Felip, Changguo Shao .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; 1 pp. 211-220. (2019). ISSN: 0013-0915

Existence of normal Hall subgroups by means of orders of products - Article

Antonio Beltrán Felip, Azahara Sáez.

MATHEMATISCHE NACHRICHTEN; 2 pp. 195-213. (2019). ISSN: 0025-584X

When a totally bounded group topology is the Bohr topology of a LCA group - Article

Salvador Hernández Muñoz, F. Javier Trigos-Arrieta.

TOPOLOGY AND ITS APPLICATIONS ; 259 pp. 110-123. (2019). ISSN: 0166-8641

Order of products of elements in finite groups - Article

Antonio Beltrán Felip, Richard Lyons, Alexander Moretó, Gabriel Navarro, Azahara Sáez.

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY; 2 pp. 535-552. (2019). ISSN: 0024-6107

Contributions to the Bohr topology by W.W. Comfort - Article

Salvador Hernández Muñoz, Dieter Remus, F. Javier Trigos-Arrieta.

TOPOLOGY AND ITS APPLICATIONS ; 259 pp. 28-39. (2019). ISSN: 0166-8641

A coprime action version of a solubility criterion of Deskins - Article

Antonio Beltrán Felip, Changguo Shao.

MONATSHEFTE FUR MATHEMATIK; 3 pp. 461-466. (2019). ISSN: 0026-9255

Arithmetical Conditions on Invariant Sylow Numbers - Article

Antonio Beltrán Felip, Changguo Shao.

MEDITERRANEAN JOURNAL OF MATHEMATICS; 2 pp. 1-11. (2018). ISSN: 1660-5446

Interpolation sets in spaces of continuous metric-valued functions - Article

María Vicenta Ferrer González, Salvador Hernández Muñoz, Luis Tárrega Ruiz.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS ; 2 pp. 1426-1442. (2018). ISSN: 0022-247X

Multiplying a conjugacy class by its inverse in a finite group - Article

Antonio Beltrán Felip, Mª José Felipe, Carmen Melchor Borja.

ISRAEL JOURNAL OF MATHEMATICS; 2 pp. 811-825. (2018). ISSN: 0021-2172

A dichotomy property for locally compact groups - Article

María Vicenta Ferrer González, Salvador Hernández Muñoz, Luis Tárrega Ruiz.

JOURNAL OF FUNCTIONAL ANALYSIS; 4 pp. 869-891. (2018). ISSN: 0022-1236

Conjugacy classes contained in normal subgroups: an overview - Article

Antonio Beltrán Felip, María José Felipe, Carmen Melchor Borja.

INTERNATIONAL JOURNAL OF GROUP THEORY; 1 pp. 23-26. (2018). ISSN: 2251-7650

Squares of real conjugacy classes in finite groups - Article

Antonio Beltrán Felip, M. J. Felipe, Carmen Melchor Borja.

ANNALI DI MATEMATICA. PURA ED APPLICATA; 2 pp. 317-328. (2018). ISSN: 0373-3114

Subgroups of direct products closely approximated by direct sums - Article

María Vicenta Ferrer González, Salvador Hernández Muñoz, Dmitri Shakhmatov.

FORUM MATHEMATICUM ; 5 pp. 1125-1144. (2017). ISSN: 0933-7741

A countable free closed non-reflexive subgroup of Z (c) - Article

María Vicenta Ferrer González, Salvador Hernández Muñoz, Dmitri Shakhmatov .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY ; 8 pp. 3599-3605. (2017). ISSN: 0002-9939

Triangles in the graph of conjugacy classes of normal subgroups - Article

Antonio Beltrán Felip, Mª J. Felipe, Carmen Melchor Borja.

MONATSHEFTE FUR MATHEMATIK; 1 pp. 5-21. (2017). ISSN: 0026-9255

On the number of invariant Sylow subgroups under coprime action - Article

Antonio Beltrán Felip, Changguo Shao .

JOURNAL OF ALGEBRA ; 490 pp. 380-389. (2017). ISSN: 0021-8693

Equicontinuity criteria for metric-valued sets of continuous functions - Article

María Vicenta Ferrer González, Salvador Hernández Muñoz, Luis Tárrega Ruiz.

TOPOLOGY AND ITS APPLICATIONS ; 225 pp. 220-236. (2017). ISSN: 0166-8641

Weight-preserving isomorphisms between spaces of continuous functions: The scalar case - Article

María Vicenta Ferrer González, M. Gary, Salvador Hernández Muñoz.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS ; 2- pp. 1659-1672. (2016). ISSN: 0022-247X

Invariant Sylow subgroups and solvability of finite groups - Article

Antonio Beltrán Felip.

ARCHIV DER MATHEMATIK ; 2 pp. 101-106. (2016). ISSN: 0003-889X

Invariant class sizes and solvability of finite groups under coprime action - Article

Antonio Beltrán Felip, C. Shao.

MATHEMATISCHE NACHRICHTEN; 2-3 pp. 187-193. (2016). ISSN: 0025-584X

Landau's theorem on conjugacy classes for normal subgroups - Article

Antonio Beltrán Felip, Mª J. Felipe, Carmen Melchor Borja.

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION ; 7 pp. 1-10. (2016). ISSN: 0218-1967

Normal subgroups whose conjugacy class graph has diameter three - Article

Antonio Beltrán Felip, Mª J. Felipe, Carmen Melchor Borja.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY ; 2 pp. 266-272. (2016). ISSN: 0004-9727

Nonmeasurable subgroups of compact groups - Article

Salvador Hernández Muñoz, K.H. Hofmann, S.A. Morris.

JOURNAL OF GROUP THEORY; 1 pp. 179-189. (2016). ISSN: 1433-5883

Nilpotent and Abelian Hall Subgroups in Fintie Groups - Article

Antonio Beltrán Felip, M. J. Felipe, G. Malle, A. Moretó, G. Navarro, L. Sanus, R. Solomon, P. Huu.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY ; 4 pp. 2497-2513. (2016). ISSN: 0002-9947

Representation of Group Isomorphisms: The Compact Case - Article

María Vicenta Ferrer González, M. Gary, Salvador Hernández Muñoz.

JOURNAL OF FUNCTION SPACES; 2015 pp. 1-6. (2015). ISSN: 2314-8896

Graphs associated to conjugacy classes of normal subgroups in finite groups - Article

Antonio Beltrán Felip, Mª José Felipe, Carmen Melchor Borja.

JOURNAL OF ALGEBRA ; 443 pp. 335-348. (2015). ISSN: 0021-8693

p-divisibility of conjugacy class sizes and normal p-complements - Article

Antonio Beltrán Felip, M.J. Felipe, C. Shao.

JOURNAL OF GROUP THEORY; 1 pp. 133-141. (2015). ISSN: 1433-5883

Class sizes of prime-power orden p'-elements and normal subgroups - Article

Antonio Beltrán Felip, Mª J. Felipe, Changguo Shao.

ANNALI DI MATEMATICA. PURA ED APPLICATA; 5 pp. 1527-1533. (2015). ISSN: 0373-3114

Coprime action and arithmetical conditions on invariant conjugacy classes - Article

C. Shao, Antonio Beltrán Felip.

SCIENCE CHINA-MATHEMATICS; 12 pp. 2499-2504. (2015). ISSN: 1674-7283

Treballs presentats en congressos publicats

New progress in products of conjugacy classs in finite groups

Antonio Beltrán Felip, María José Felipe, Carmen Melchor Borja.

Groups St Andrews 2017 in Birmingham. Birmingham (Reino Unido)

Cambridge University Press, 2019. ISBN: 9781108692397

Subdirect products of finite abelian groups

María Vicenta Ferrer González, Salvador Hernández Muñoz.

Meeting in Topology and Functional Analysis In Honour of Manuel López-Pellicer Mathematical Work (TFA 2018). Elx (España)

Springer, 2018. ISBN: 9783030173753

A generalisation on the solvability of finite groups with three class sizes for normal subgroups

Antonio Beltrán Felip, Mª J. Felipe.

London Mathemnatical Society Lectures Note Series Vol 422 Gropus St Andrews 2013 (Proceedings of Groups St Andrews 2013 Conference). University of St Andrews, St Andrews, Scotland (Reino Unido)

Cambridge University Press, 2015. ISBN: 9781107514546

Tesis dirigides

Espacios de funciones contínuas con valores difusos
Autoria: Sanchis Minguez, Delia. Institució: Universitat Jaume I. Data lectura: 06/05/19

Direcció: Font Ferrandis, Juan José; Sanchis López, Manuel
Conjugacy classes and normal subgroups in finite groups
Autoria: Melchor Borja, Carmen. Institució: Universitat Jaume I. Data lectura: 20/12/18

Direcció: Beltrán Felip, Antonio; Felipe Román, María José
Maximalidad de propiedades que generalizan la compacidad
Autoria: Martínez Cadena, Juan Alberto. Institució: Universitat Jaume I. Data lectura: 05/11/18

Direcció: Sanchis López, Manuel
Reflexiones sobre estructuras topológicas y algebraico topológicas
Autoria: Hernández Arzusa, Julio Cesar. Institució: Universidad de Cartagena. Data lectura: 26/09/18

Direcció: Hernández Muñoz, Salvador; Pérez González, Humberto David
Interpolation and equicontinuity sets in topological groups and spaces of continuous functions
Autoria: Tárrega Ruiz, Luis. Institució: Universitat Jaume I. Data lectura: 18/12/17

Direcció: Hernández Muñoz, Salvador; Ferrer González, María Vicenta
Sampling periodic type functions
Autoria: Gómez Rincón, Camilo Alfonso. Institució: De los Andes. Data lectura: 05/12/16

Direcció: Galindo Pastor, Jorge
Representación de Isomorfismos entre Espacios de Funciones Continuas
Autoria: Gary Gutiérrez, Margarita del Carmen. Institució: Universidad Autónoma Metropolitana de México, Unidad-Iztapalapa. Data lectura: 02/03/16

Direcció: Hernández García, Constancio; Hernández Muñoz, Salvador

Més informació

Paraules clau

Grups finits i les seues representacions
Grups topològics
Grups localment compactes i les seues representacions
Dualitat de Pontryagin-van Kampen
Topologies dèbils
Accions de grups
Espais de funcions contínues
Caracterització d’invariants topològics per mitjà de propietats dels espais de funcions
Continuïtat automàtica: condicions suficients perquè un homomorfisme entre àlgebres de Banach siga continu