Employment                                                                                                       

  • 01/01/1997 - 17/05/1999 Predoctoral  Fellow at Universitat de Valčncia

  • 18/05/1999 - 30/09/1999 Teaching assistant  (Ayudante de Escuela Universitaria) at Universidad Miguel Hernández (Elche)  

  • 01/10/1999 - 30/09/2004 Assistant Professor (Ayudante de Universidad) at Universitat de Valčncia

  • 10/03/2001 - 16/06/2001  Visiting Professor at Ohio University, Athens
  • 12/03/2002 - 16/06/2002  Visiting Professor at Ohio University, Athens
  • 01/10/2004 - 13/10/2009  Associate Professor (Contratado Doctor) (not a civil servant) 

  • 14/10/2009 -                        Associate Professor (Profesor Titular de Universidad) (civil servant)                                    

                                         


Conferences

Conferences Contributions:

  •    “Inducing characters, canonical bases and good subgroups”in  Algebra 2000 (University of Alberta),  Alberta(CANADA) 2000. (talk)

  • “Character correspondences and perfect isometries” in Groups St. Andrews 2001 in Oxford, Oxford (ENGLAND) 2001. (talk)

  •    “Coprime actions and degrees of primitive inducers of invariant characters” in XXVIth OSU Denison Conference, Granville(OH) USA 2002. (talk)

  •  “Grafos de grados de caracteres, subgrupos normales y bloques”in Primer congreso conjunto de Matemáticas RSME-SCM-SEIO-SEMA  MAT.ES 2005  Valencia (SPAIN) 2005 (talk)

  •    “Fong Characters and their fields of values” in GROUPS - ST ANDREWS 2005, St. Andrew (SCOTLAND) 2005. (talk)

  •     “Sylow Normalizers with a normal Sylow 2-subgroup” in Primer Congreso Hispano-Francés de Matemáticas, Zaragoza(SPAIN) 2006 (talk)

  •    ”Sylow Normalizers with a normal Sylow 2-subgroup” in Ischia Group Theory 2008, Ischia (ITALY) 2008 (poster)

  •    “On Characters and Conjugacy Classes of Finite Groups” ” in Ischia Group Theory 2008, Ischia (ITALY) 2008 (poster)

  •     “Real Characters and degrees” in Duality and Involutions in Representation Theory, : Maynooth (IRELAND) 2008 (talk).

  •   “Zeros of characters of finite groups” in Groups and Topological Groups,  Milano (ITALY) 2009 (talk)

  •   “The orders of zeros of irreducible characters” in Conference on Character Theory of Finite Groups in honor of Martin Isaacs, Valencia (SPAIN) 2009. (poster)

  •     “Groups whose vanishing class sizes are not divisible by a given prime” in  Ischia Group Theory 2010, Ischia (ITALY) 2010 (poster)

  •    “Sobre ceros de caracteres de grupos finitos” in VIII Encuentro en Teoría de Grupos, Bilbao (SPAIN) 2010 (talk)

  •   “Groups whose prime graph on conjugacy class size has few complete vertices” in  EMS-RSME. Joint Mathematical weekend, Bilbao (SPAIN) 2011.(poster)

  •   “Some graphs on degrees and conjugacy classesin ’Groups and Topological Groups’ GTG 2012,  Milano(ITALY) 2013(talk)

  •    “Real Character degrees” in Groups St. Andrews 2013, St. Andrews (ENGLAND) 2013 (talk)

  •    “On the prime graph of finite groups” in  First Joint International Meeting Of The Italian And Spanish Mathematical Societies RSME-SCM-SEMA-SIMAI-UMI, Bilbao (SPAIN) 2014. (invited talk)

  •    “Groups whose character degree graph has diameter three” in X Ecuentro ibérico en Teoría de Grupos, Sevilla (SPAIN) 2014. (poster)

  •   “Nonvanishing elements for Brauer characters”  in Ischia Group Theory 2016, Ischia (ITALY) 2016. (poster)

  •    “Sottogruppi di Hall Nilpotenti in Gruppi Finiti”in Mini-Workshop di Primavera Universitŕ degli Studi di Milano, Milano (ITALY) 2016 (invited talk)

  •     “Vanishing elements in finite groups” Congreso Bienal De La Real Sociedad Matematica Espańola Zaragoza 2017, Zaragoza (SPAIN) 2017. (talk)

  •   “Graphs on class sizes and character degrees” in Conference "Gruppen und topologische Gruppen” Milano (ITALY),2019 (invited talk)

 

Conferences organized:



Publications:

Under Review :

  •    A real version of Thompson’s theorem on degrees. (with N. Rizo)
  • Groups whose prime graph on class sizes has a cut vertex (with  S. Dolfi,  E. Pacifici and. V. Sotomayor).

Articles:

  •      The prime graph on class sizes of a finite group has a bipartite complement. J. Algebra 542 (2020), 35–42. (with  S. Dolfi,  E. Pacifici and. V. Sotomayor)

  •  Bounding the number of vertices in the degree graph of a finite group. J. Pure Appl. Algebra 224 (2020), no. 2, 725–731. (with Z. Akhlaghi, S. Dolfi and E. Pacifici)

  •  On the character degree graph of finite groups. Ann. Mat. Pura Appl. (4) 198 (2019), no. 5, 1595–1614. (with Z. Akhlaghi, C. Casolo, S. Dolfi and E. Pacifici)

  • Sylow subgroups and fusion of characters. Mediterr. J. Math. 15 (2018), no. 6, Art. 225, 6 pp. (with G. Navarro)

  •   Nonvanishing elements for Brauer characters. J. Aust. Math. Soc. 102 (2017), no. 1, 96–107. (with  S. Dolfi and  E. Pacifici)

  •   Groups whose character degree graph has diameter three. Israel J. Math. 215 (2016), no. 2, 523–558. (with C. Casolo,  S. Dolfi and  E. Pacifici)

  •  Nilpotent and abelian Hall subgroups in finite groups. Trans. Amer. Math. Soc. 368 (2016), no. 4, 2497–2513. (with A. Beltrán, M.J.Felipe, G. Malle, A. Moretó, G.  Navarro, R. Solomon and P.H. Tiep)

  • Incomplete vertices in the prime graph on conjugacy class sizes of finite groups. J. Algebra 376 (2013), 46–57. (with C. Casolo,  S. Dolfi and E. Pacifici)

  •  Groups whose prime graph on conjugacy class sizes has few complete vertices. J. Algebra 364 (2012), 1–12. (with C. Casolo,  S. Dolfi and E. Pacifici)

  •  On the vanishing prime graph of finite groups. J. Lond. Math. Soc. (2) 82 (2010), no. 1, 167–183 (with  S. Dolfi,  E. Pacifici and P. Spiga)

  •  Groups whose vanishing class sizes are not divisible by a given prime. Arch. Math. (Basel) 94 (2010), no. 4, 311–317. (with  S. Dolfi and  E. Pacifici)

  • On the vanishing prime graph of solvable groups. J. Group Theory 13 (2010), no. 2, 189–206. (with  S. Dolfi,  E. Pacifici and P. Spiga)

  •  Finite groups with real conjugacy classes of prime size. Israel J. Math. 175 (2010), 179–189. (with  S. Dolfi and  E. Pacifici )

  •  Non-vanishing elements of finite groups. J. Algebra 323 (2010), no. 2, 540–545.  (with  S. Dolfi , G. Navarro, E. Pacifici  and P.H. Tiep)

  • Real characters and degrees. Israel J. Math. 171 (2009), 157–173. (With G. Navarro and P.H. Tiep)

  • On the orders of zeros of irreducible characters. J. Algebra 321 (2009), no. 1, 345–352. (with  S. Dolfi,  E. Pacifici and P. Spiga)

  •  Sylow normalizers with a normal Sylow 2-subgroup. Proc. Edinb. Math. Soc. (2) 51 (2008), no. 3, 779–783. (with G. Navarro)

  •  Finite groups with real-valued irreducible characters of prime degree. J. Algebra 320 (2008), no. 5, 2181–2195. (with  S. Dolfi and  E. Pacifici )

  •  Rationality and normal 2-complements. J. Algebra 320 (2008), no. 6, 2451–2454. (with G. Navarro)

  •  Field of values and Brauer characters of q′-degree. J. Algebra 311 (2007), no. 2, 817–820.

  •  Groups with two real Brauer characters. J. Algebra 307 (2007), no. 2, 891–898. (with G. Navarro and P.H. Tiep)

  •  Fields of values of Fong characters. Arch. Math. (Basel) 86 (2006), no. 4, 305–309. (with I.M. Isaacs and G. Navarro)

  •  Character degree graphs, blocks and normal subgroups. J. Group Theory 8 (2005), no. 4, 461–465. (with A. Moretó)

  •  A graph associated with the π-character degrees of a group. Arch. Math. (Basel) 80 (2003), no. 6, 570–577. (with M.L. Lewis, J.K. McVey and A. Moretó)

  •  Perfect isometries and the Isaacs correspondence. Osaka J. Math. 40 (2003), no. 2, 313–326.

  •  Induction and character correspondences in groups of odd order. J. Algebra 249 (2002), no. 1, 186–195.

  • Coprime actions and degrees of primitive inducers of invariant characters. Bull. Austral. Math. Soc. 64 (2001), no. 2, 315–320. (with A. Moretó)

  • Characters induced from fully ramified subgroups. Comm. Algebra 29 (2001), no. 4, 1829–1840. (with G. Navarro)

  • Blocks relative to a normal subgroup in π-separable groups. J. Algebra 232 (2000), no. 1, 343–359.

  • Inducing characters and nilpotent injectors. Bull. Austral. Math. Soc. 62 (2000), no. 1, 155–158.

  • A partition of characters associated to nilpotent subgroups. Israel J. Math. 114 (1999), 359–380. (with G. Navarro)

  •  Partial characters with respect to a normal subgroup. J. Austral. Math. Soc. Ser. A 66 (1999), no. 1, 104–124. (with G. Navarro)

Chapters of books:

  •   On zeros of characters of finite groups. Group theory and computation, 41–58, Indian Stat. Inst. Ser., Springer, Singapore, 2018 (with S. Dolfi and E. Pacifici )

  •  Real characters and degrees: an overview. Ischia group theory 2008, 243–247, World Sci. Publ., Hackensack, NJ, 2009. 

  •   Fong characters and their fields of values. Groups St. Andrews 2005. Vol. 2, 644–645, London Math. Soc. Lecture Note Ser., 340, Cambridge Univ. Press, Cambridge, 2007.

  •   Character correspondences and perfect isometries. Groups St. Andrews 2001 in Oxford. Vol. II, 494–495, London Math. Soc. Lecture Note Ser., 305, Cambridge Univ. Press, Cambridge, 2003.
   



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