Professor Mark Wildon

  1. 2021
  2. Forthcoming

    Plethysms of symmetric functions and highest weight representations

    de Boeck, M., Paget, R. & Wildon, M., 26 Apr 2021, (Accepted/In press) In: Transactions of the American Mathematical Society. 34 p.

    Research output: Contribution to journalArticlepeer-review

  3. 2020
  4. Published

    A Proof of the Murnaghan–Nakayama Rule Using Specht Modules and Tableau Combinatorics

    Kochhar, J. & Wildon, M., 20 Feb 2020, In: Annals of combinatorics. p. 1-22 22 p.

    Research output: Contribution to journalArticlepeer-review

  5. Forthcoming

    Plethysms of symmetric functions and representations of SL_2(C)

    Wildon, M. & Paget, R., 11 Jan 2020, (Accepted/In press) In: Journal of Algebraic Combinatorics. 52 p.

    Research output: Contribution to journalArticlepeer-review

  6. 2019
  7. E-pub ahead of print

    The multistep homology of the simplex and representations of symmetric groups

    Wildon, M., 20 Jun 2019, (E-pub ahead of print) In: Mathematical Proceedings of the Cambridge Philosophical Society. p. 1-23 23 p.

    Research output: Contribution to journalArticlepeer-review

  8. E-pub ahead of print

    Permutation groups containing a regular abelian subgroup: the tangled history of two mistakes of Burnside

    Wildon, M., 27 May 2019, (E-pub ahead of print) In: Mathematical Proceedings of the Cambridge Philosophical Society. p. 1-21 21 p.

    Research output: Contribution to journalArticlepeer-review

  9. Published

    Generalized Foulkes modules and maximal and minimal constituents of plethysms of Schur functions

    Paget, R. & Wildon, M., May 2019, In: Proceedings of the London Mathematical Society. 118, 5, p. 1153-1187 35 p.

    Research output: Contribution to journalArticlepeer-review

  10. 2018
  11. Published

    A Generalized SXP Rule Proved by Bijections and Involutions

    Wildon, M., Dec 2018, In: Annals of combinatorics. 22, 4, p. 885-905 21 p.

    Research output: Contribution to journalArticlepeer-review

  12. 2017
  13. Published

    On signed Young permutation modules and signed p-Kostka numbers

    Giannelli, E., Lim, K. J., O'Donovan, W. & Wildon, M., 1 Jul 2017, In: Journal of Group Theory. 20, 4, p. 637–679 43 p.

    Research output: Contribution to journalArticlepeer-review

  14. Published

    Bell numbers, partition moves and the eigenvalues of the random-to-top shuffle in Dynkin Types A, B and D

    Britnell, J. R. & Wildon, M., May 2017, In: Journal of Combinatorial Theory, Series A. 148, p. 116-144 29 p.

    Research output: Contribution to journalArticlepeer-review

  15. 2016
  16. Published

    Searching for knights and spies: A majority/minority game

    Wildon, M., 6 Nov 2016, In: Discrete Mathematics. 339, 11, p. 2754–2766 13 p.

    Research output: Contribution to journalArticlepeer-review

  17. E-pub ahead of print

    A combinatorial proof of a plethystic Murnaghan--Nakayama rule

    Wildon, M., 16 Aug 2016, (E-pub ahead of print) In: SIAM Journal on Discrete Mathematics. 30, 3, p. 1526–1533 108 p.

    Research output: Contribution to journalArticlepeer-review

  18. Published

    Indecomposable summands of Foulkes modules

    Giannelli, E. & Wildon, M., Aug 2016, In: Journal of Pure and Applied Algebra. 220, 8, p. 2969–2984 16 p.

    Research output: Contribution to journalArticlepeer-review

  19. E-pub ahead of print

    The majority game with an arbitrary majority

    Wildon, M. & Britnell, J. R., 11 Apr 2016, (E-pub ahead of print) In: Discrete Applied Mathematics. 208, p. 1-6 6 p.

    Research output: Contribution to journalArticlepeer-review

  20. Published

    Minimal and maximal constituents of twisted Foulkes characters

    Paget, R. & Wildon, M., Apr 2016, In: Journal of the London Mathematical Society. 93, 2, p. 301-318 18 p.

    Research output: Contribution to journalArticlepeer-review

  21. 2015
  22. Published

    Foulkes modules and decomposition numbers of the symmetric group

    Giannelli, E. & Wildon, M., Feb 2015, In: Journal of Pure and Applied Algebra. 219, 2, p. 255-276 22 p.

    Research output: Contribution to journalArticlepeer-review

  23. 2014
  24. Published

    Orbit coherence in permutation groups

    Wildon, M. & Britnell, J. R., 2014, In: Journal of Group Theory. 17, p. 73 109 p.

    Research output: Contribution to journalArticlepeer-review

  25. 2013
  26. Published

    Finding a princess in a palace: a pursuit–evasion problem

    Wildon, M. & Britnell, J. R., 2013, In: The Electronic Journal of Combinatorics. 20, 1, 8 p., 25.

    Research output: Contribution to journalArticlepeer-review

  27. Forthcoming

    On types of matrices and centralizers of matrices and permutations

    Wildon, M. & Britnell, J. R., 2013, (Accepted/In press) In: Journal of Group Theory.

    Research output: Contribution to journalArticlepeer-review

  28. 2012
  29. Published

    The probability that a pair of elements of a finite group are conjugate

    Blackburn, S. R., Britnell, J. R. & Wildon, M., 2012, In: Journal of the London Mathematical Society. 86, 3, p. 755-778

    Research output: Contribution to journalArticlepeer-review

  30. 2011
  31. Published

    Set families and Foulkes modules

    Paget, R. & Wildon, M., Nov 2011, In: Journal of Algebraic Combinatorics. 34, 3, p. 525-544 20 p.

    Research output: Contribution to journalArticlepeer-review

  32. Published

    On types and classes of commuting matrices over finite fields

    Britnell, J. R. & Wildon, M., 2011, In: Journal of the London Mathematical Society. 83, 2, p. 470-492 23 p.

    Research output: Contribution to journalArticlepeer-review

  33. 2010
  34. Published

    Knights, spies, games and ballot sequences

    Wildon, M., 2010, In: Discrete Mathematics. 310, 21, p. 2974-2983 10 p.

    Research output: Contribution to journalArticlepeer-review

  35. Published

    Vertices of Specht modules and blocks of the symmetric group

    Wildon, M., 2010, In: Journal of Algebra. 323, 8, p. 2243-2256 14 p.

    Research output: Contribution to journalArticlepeer-review

  36. 2009
  37. Published

    Multiplicity-free representations of symmetric groups

    Wildon, M., Jul 2009, In: Journal of Pure and Applied Algebra. 213, 7, p. 1464-1477 14 p.

    Research output: Contribution to journalArticlepeer-review

  38. Published

    Commuting conjugacy classes: an application of Hall's marriage theorem to group theory

    Britnell, J. R. & Wildon, M., 2009, In: Journal of Group Theory. 12, 6, p. 795-802 8 p.

    Research output: Contribution to journalArticlepeer-review

  39. 2008
  40. Published

    A combinatorial method for calculating the moments of Lévy area

    Levin, D. & Wildon, M., 24 Jul 2008, In: Transactions of the American Mathematical Society. 360, 12, p. 6695-6709 15 p.

    Research output: Contribution to journalArticlepeer-review

  41. Published

    Character values and decomposition matrices of symmetric groups

    Wildon, M., 2008, In: Journal of Algebra. 319, 8, p. 3382-3397 16 p.

    Research output: Contribution to journalArticlepeer-review

  42. Published

    Counting partitions on the abacus

    Wildon, M., 2008, In: Ramanujan Journal. 17, 3, p. 355-367 13 p.

    Research output: Contribution to journalArticlepeer-review

  43. Published

    Labelling the character tables of symmetric and alternating groups

    Wildon, M., 2008, In: Quarterly Journal of Mathematics. 59, 1, p. 123-135 13 p.

    Research output: Contribution to journalArticlepeer-review

  44. Published

    On the distribution of conjugacy classes between the cosets of a finite group in a cyclic extension

    Britnell, J. R. & Wildon, M., 2008, In: Bulletin of the London Mathematical Society. 40, 5, p. 897-906 10 p.

    Research output: Contribution to journalArticlepeer-review

  45. 2006
  46. Published

    Introduction to Lie algebras

    Erdmann, K. & Wildon, M. J., 2006, London: Springer-Verlag London Ltd. (Springer Undergraduate Mathematics Series)

    Research output: Book/ReportBook

  47. 2003
  48. Published

    Two theorems on the vertices of Specht modules

    Wildon, M., 2003, In: Archiv der Mathematik. 81, 5, p. 505-511 7 p.

    Research output: Contribution to journalArticlepeer-review