Dr John Murray

    Mathematics and Statistics

    Associate Professor

    Logic House
    101
    (01) 708 4628

    Biography

    Peer Reviewed Journals

      Year Publication
    2020 'A bijection for Euler’s partition theorem in the spirit of Bressoud'
    Murray J. (2020) 'A bijection for Euler’s partition theorem in the spirit of Bressoud'. Ramanujan Journal, 51 (1):163-175 [DOI] [Details]
    2019 'Quadratic principal indecomposable modules and strongly real elements of finite groups'
    Gow R.;Murray J. (2019) 'Quadratic principal indecomposable modules and strongly real elements of finite groups'. Proceedings of the American Mathematical Society, 147 (7):2783-2796 [DOI] [Details]
    2019 'Frobenius-Schur indicators of characters in blocks with cyclic defect'
    Murray J. (2019) 'Frobenius-Schur indicators of characters in blocks with cyclic defect'. Journal of Algebra, 533 :90-105 [DOI] [Details]
    2018 'The quadratic type of the 2-principal indecomposable modules of the double covers of alternating groups'
    Murray J. (2018) 'The quadratic type of the 2-principal indecomposable modules of the double covers of alternating groups'. Journal of Algebra, 512 :81-91 [DOI] [Details]
    2018 'The indecomposable symplectic and quadratic modules of the Klein-four group'
    Pforte L.;Murray J. (2018) 'The indecomposable symplectic and quadratic modules of the Klein-four group'. Journal of Algebra, 505 :92-124 [DOI] [Details]
    2018 'Alperin–McKay natural correspondences in solvable and symmetric groups for the prime p= 2'
    Giannelli E.;Murray J.;Tent J. (2018) 'Alperin–McKay natural correspondences in solvable and symmetric groups for the prime p= 2'. Annali di Matematica Pura ed Applicata, 197 (4):999-1016 [DOI] [Details]
    2018 'The duals of the 2-modular irreducible modules of the alternating groups'
    Murray J. (2018) 'The duals of the 2-modular irreducible modules of the alternating groups'. Symmetry, Integrability And Geometry: Methods And Applications (Sigma), 14 [DOI] [Details]
    2016 'Symmetric bilinear forms and vertices in characteristic 2'
    Murray J. (2016) 'Symmetric bilinear forms and vertices in characteristic 2'. Journal of Algebra, 462 :338-374 [DOI] [Details]
    2016 'Characters, bilinear forms and solvable groups'
    Murray J.; Navarro G. (2016) 'Characters, bilinear forms and solvable groups'. Journal of Algebra, 449 :346-354 [DOI] [Details]
    2014 'Character heights and p-length in blocks of p-solvable groups'
    Murray, J; Tent, J (2014) 'Character heights and p-length in blocks of p-solvable groups'. Journal of Algebra, 398 :318-328 [DOI] [Details]
    2014 'On a result of Kiyoko, Okuyama and Wada'
    Murray, J (2014) 'On a result of Kiyoko, Okuyama and Wada'. Osaka Journal of Mathematics, 51 :171-177 [Details]
    2014 'Centralizer algebras and degenerate affine Hecke algebras'
    Ellers, H; Murray, J (2014) 'Centralizer algebras and degenerate affine Hecke algebras'. Communications in Algebra, 42 :1074-1094 [DOI] [Details]
    2013 'The centralizer of a subgroup in a group algebra'
    Danz, S; Ellers, H; Murray, J (2013) 'The centralizer of a subgroup in a group algebra'. Proceedings of the Edinburgh Mathematical Society, 56 :49-56 [DOI] [Details]
    2010 'Carter-Payne homomorphisms and branching rules for endomorphism rings of Specht modules'
    Ellers, H;Murray, J (2010) 'Carter-Payne homomorphisms and branching rules for endomorphism rings of Specht modules'. Journal of Group Theory, 13 :477-501 [DOI] [Details]
    2009 'Real subpairs and Frobenius-Schur indicators of characters in 2-blocks'
    Murray, J (2009) 'Real subpairs and Frobenius-Schur indicators of characters in 2-blocks'. Journal of Algebra, 322 :489-513 [DOI] [Details]
    2008 'Components of the involution module in blocks with cyclic or Klein-four defect group'
    Murray, J (2008) 'Components of the involution module in blocks with cyclic or Klein-four defect group'. Journal of Group Theory, 11 :43-62 [DOI] [Details]
    2007 'Branching Rules for Specht Modules'
    H. Ellers and J. Murray (2007) 'Branching Rules for Specht Modules'. JOURNAL OF ALGEBRA, 307 :278-286 [IR Link] [Details]
    2006 'Projective modules and involutions'
    Murray, J (2006) 'Projective modules and involutions'. Journal of Algebra, 299 :616-622 [DOI] [IR Link] [Details]
    2006 'Strongly real 2-blocks and the Frobenius-Schur indicator'
    Murray, J (2006) 'Strongly real 2-blocks and the Frobenius-Schur indicator'. Osaka Journal of Mathematics, 43 :201-213 [Details]
    2005 'Central ideals and Cartan invariants of symmetric algebras'
    Hethelyi, L;Horvath, E;Kulshammer, B;Murray, J (2005) 'Central ideals and Cartan invariants of symmetric algebras'. Journal of Algebra, 293 :243-260 [DOI] [Details]
    2004 'Generators for the centre of the group algebra of a symmetric group'
    Murray, J (2004) 'Generators for the centre of the group algebra of a symmetric group'. Journal of Algebra, 271 :725-748 [DOI] [Details]
    2004 'Block theory, branching rules, and centralizer algebras'
    Ellers, H;Murray, J (2004) 'Block theory, branching rules, and centralizer algebras'. Journal of Algebra, 276 :236-258 [DOI] [IR Link] [Details]
    2001 'On a certain ideal of Külshammer in the centre of a group algebra'
    Murray J. (2001) 'On a certain ideal of Külshammer in the centre of a group algebra'. Archiv Der Mathematik, 77 (5):373-377 [Details]
    2007 'Projective indecomposable modules, Scott modules and the Frobenius-Schur indicator'
    J. Murray (2007) 'Projective indecomposable modules, Scott modules and the Frobenius-Schur indicator'. JOURNAL OF ALGEBRA, 311 :800-816 [IR Link] [Details]
    2006 'Cartan Invariants and Central Ideals of Group Algebras'
    T. Breuer, L. Héthelyi, E. Horváth, B. Külshammer and J. Murray (2006) 'Cartan Invariants and Central Ideals of Group Algebras'. JOURNAL OF ALGEBRA, 296 :177-195 [IR Link] [Details]
    2002 'Squares in the centre of the group algebra of a symmetric group'
    J. Murray (2002) 'Squares in the centre of the group algebra of a symmetric group'. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 34 :155-164 [IR Link] [Details]
    2001 'Sylow Intersections, Double Cosets, and 2-Blocks'
    Murray, J. (2001) 'Sylow Intersections, Double Cosets, and 2-Blocks'. COMMUNICATIONS IN ALGEBRA, 29 :3609-3619 [IR Link] [Details]
    2000 'Real 2-Regular Classes and 2-Blocks'
    R. Gow and J. Murray (2000) 'Real 2-Regular Classes and 2-Blocks'. JOURNAL OF ALGEBRA, 230 :455-473 [IR Link] [Details]
    1999 'The alternating group AS and the general linear group GL4(2)'
    J. Murray (1999) 'The alternating group AS and the general linear group GL4(2)'. MATHEMATICAL PROCEEDINGS OF THE ROYAL IRISH ACADEMY, 99A :123-132 [IR Link] [Details]
    1999 'Blocks of defect zero and products of elements of order p'
    J. Murray (1999) 'Blocks of defect zero and products of elements of order p'. JOURNAL OF ALGEBRA, 214 :385-399 [IR Link] [Details]

    Conference Contributions

      Year Publication
    2009 Algebraic Topology Groups and Representations.
    (2009) Algebraic Topology Groups and Representations. [Oral Presentation], The representation theory of centralizer algebras, Skye, Scotland [Details]
    2009
    Dr Andrew Mathas (2009) [Visiting and guest lecturers hosted], University of Sydney, Dr John Murray, [Details]
    2009 Algebra Seminar.
    (2009) Algebra Seminar. [Oral Presentation], Centralizer Algebras and Cellular Algebras, Math Dept, Bristol University [Details]
    2009
    Dr Matthew Fayers (2009) [Visiting and guest lecturers hosted], The Mullineux map, Queen Mary, Dr John Murray, [Details]
    2009 Representations of Finite Groups.
    (2009) Representations of Finite Groups. [Oral Presentation], Involutions, FS-Indicators and Real Subpairs, Mathematisches Forschungsinstitut Oberwolfach [Details]
    2009 Conference in honor of I. Martin Isaacs.
    (2009) Conference in honor of I. Martin Isaacs. [Oral Presentation], Computing FS-indicators of characters in 2-blocks, Universitat de Valencia [Details]
    2009
    Dr Harald Ellers (2009) [Visiting and guest lecturers hosted], Allegheny College, PA, USA, , [Details]
    2009 Representation Theory Seminar.
    (2009) Representation Theory Seminar. [Oral Presentation], Carter-Payne homomorphisms and Jantzen Filtrations, Math Institute, Oxford University [Details]
    2008
    Dr Harald Ellers (2008) [Visiting and guest lecturers hosted], Allegheny College, PA, USA, Dr John Murray, [Details]
    2008
    Dr Sinead Lyle (2008) [Visiting and guest lecturers hosted], Reducible Specht modules: almost complete classifi, University of East Anglia, Dr John Murray, [Details]
    2007
    Dr. Mark Wildon (2007) [Visiting and guest lecturers hosted], Counting partitions on the abacus, Swansea University, Dr John Murray, [Details]
    2007
    Dr. Harald Meyer (2007) [Visiting and guest lecturers hosted], Subalgebras in the centre of finite group rings an, University of Bayreuth, Dr John Murray, [Details]
    2007 The Hall-Higman Theorems: Fifty years on.
    (2007) The Hall-Higman Theorems: Fifty years on. [Public presentations], , Mathematical Institute, Oxford [Details]
    2006 Darstellungstheorietage 2006.
    (2006) Darstellungstheorietage 2006. [Oral Presentation], Involution module for 2-blocks, cyclic, Klein-4 de, Schloß Thurnau, near Bayreuth, Germany [Details]
    2006 Representation Theory Seminar.
    (2006) Representation Theory Seminar. [Oral Presentation], FS-indicators of blocks with cyclic Klein 4 defect, Math Institute, Oxford University [Details]
    2005 Algebraic groups and finite reductive group.
    (2005) Algebraic groups and finite reductive group. [Public presentations], , Bernoulli Center - EPFL, Switzerland [Details]
    2001
    (2001) Gregynog Hall, Newtown, Powys, Wales , 06-FEB-01 - 06-MAY-01 [Details]
    2001 Mathematisches Forschungsinstitut Oberwolfach.
    (2001) Mathematisches Forschungsinstitut Oberwolfach. Germany , 03-JAN-01 [Details]

    Thesis

      Year Publication
    1998 Dade's Conjecture for the McLaughlin simple group.
    Dr John Murray (1998) Dade's Conjecture for the McLaughlin simple group. University of Illinois at Urbana-Champaign, IL, USA: Thesis [Details]