Professor Heiko Dietrich

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Publications and collaborators

Here is my current list of publications (including theses and software); papers in preparation and submitted papers are not listed. Most publisher copyrights allow me to share digital off-prints with genuine colleagues for their personal use only, but not to post off-prints as public articles. To gain access, ask me for the password. Here's a hint if you forgot: user name is 'heiko', password is the last name of a famous mathematician who died young.

Publications

Openly accessible versions of most publications can also be found on my Monash profile. Please click on the headings to expand the lists.

• Published Papers
  1. Santiago Barrera Acevedo, Heiko Dietrich, and Corey Liones.
     New infinite families of quaternionic Hadamard matrices.
     Des. Codes Cryptogr. (accepted, 11 pages, 2024).
     (link, pdf)
  2. Heiko Dietrich and Willem A. de Graaf.
     A computational approach to almost-inner derivations.
     J. Symb. Comp. (accepted, 9 pages, 2024).
     (link, pdf)
  3. Jianbei An, Heiko Dietrich, and Alastair Litterick.
     Elementary abelian subgroups: from algebraic groups to finite groups.
     Trans. Amer. Math. Soc. (accepted, 43 pages, 2024).
     (link, pdf)
  4. Vishnuram Arumugam, Heiko Dietrich, and Stephen P. Glasby.
     Derangements in wreath products of permutation groups.
     J. Algebraic Combin. 59, 1-22 (2024).
     (link, pdf)
  5. Heiko Dietrich and Bettina Eick.
     The origins of Coclass Theory.
     Arch. Math. (Basel) 121(5-6), 495–510 (2023).
     (link, pdf)
  6. Heiko Dietrich and Tanya Evans.
     Traditional lectures versus active learning - a false dichotomy?.
     STEM Education 2(4), 275-292 (2022).
     (link, pdf)
  7. Tanya Evans and Heiko Dietrich.
     Inquiry-based mathematics education: a call for reform in tertiary education seems unjustified.
     STEM Education 2(3), 221-244 (2022).
     (link, pdf)
  8. Heiko Dietrich, Willem A. de Graaf, Alessio Marrani, and Marcos Origlia.
     Classification of four rebit-states.
     J. Geom. Phys. 179, 104610 (2022).
     (link, pdf)
  9. Alexander Cant, Heiko Dietrich, Bettina Eick, and Tobias Moede.
     Galois trees in the graph of p-groups of maximal class.
     J. Algebra 604, 429-450 (2022).
     (link, pdf)
  10. Heiko Dietrich, Willem A. de Graaf, Alessio Marrani, and Marcos Origlia.
      Classification of four qubit states and their stabilisers under SLOCC operations.
      J. Phys. A: Math. Theor. 55, 095302 (2022).
      (link, pdf)
  11. Heiko Dietrich, Murray Elder, Adam Piggott, Youming Qiao, and Armin Weiß.
      
      The isomorphism problem for plain groups is in Σ^P₃.
      
      39th International Symposium on Theoretical Aspects of Computer Science-STACS 219, 26:1-26:14 (2022).
      (link, pdf)
  12. Heiko Dietrich, Wolfgang Globke, and Marcos Origlia.
      A note on étale representations from nilpotent orbits.
      Bull. Aust. Math. Soc. 106, 113-125 (2022).
      (link, pdf)
  13. Heiko Dietrich and James B. Wilson.
      Group isomorphism is nearly-linear time for most orders.
      62nd Annual IEEE Symposium on Foundations of Computer Science-FOCS 457-467 (2022).
      (link, pdf)
  14. Heiko Dietrich, Bettina Eick, and Xueyu Pan.
      Groups whose orders factorise into at most 4 primes.
      J. Symb. Comp. 108, 23-40 (2022).
      (link, pdf contains corrected typos in Table 4)
      
  15. Santiago Barrera Acevedo, Padraig Ó Catháin, and Heiko Dietrich.
      Cocyclic two-circulant core Hadamard matrices.
      J. Algebraic Combin. 55, 201-215 (2022).
      (link, pdf)
  16. Heiko Dietrich and Primož Moravec.
      On two group functors extending Schur multipliers.
      Exp. Math. 31, 1332-1344 (2022).
      (link, pdf)
  17. Heiko Dietrich and Darren Low.
      Generation of finite groups with cyclic Sylow subgroups.
      J. Group Theory 24, 161-175 (2021).
      (link, pdf)
  18. Heiko Dietrich and Alexander Hulpke.
      Universal covers of finite groups.
      J. Algebra 569, 681-712 (2021).
      (link, pdf)
      
  19. Heiko Dietrich and Willem A. de Graaf.
      Computing the real Weyl group.
      J. Symb. Comp. 104, 1-14 (2021).
      (link, pdf)
  20. Heiko Dietrich and Jeroen Schillewaert.
      On a duality for codes over non-abelian groups.
      Des. Codes Cryptogr. 88, 789–805 (2020).
      (link, pdf)
  21. Heiko Dietrich and James B. Wilson.
      Isomorphism testing of groups of cube-free order.
      J. Algebra 545, 174-197 (2020).
      (link, pdf)
      
  22. Santiago Barrera Acevedo, Padraig Ó Catháin, and Heiko Dietrich.
      Constructing cocyclic Hadamard matrices of order 4p.
      J. Combin. Des. 27, 627-642 (2019).
      (link, pdf)
  23. Santiago Barrera Acevedo and Heiko Dietrich.
      New infinite families of Williamson Hadamard matrices.
      Australas. J. Combin. 73 (1), 207-219 (2019).
      (link, pdf)
  24. Heiko Dietrich and Subhrajyoti Saha.
      A note on skeleton groups in coclass graphs.
      Internat. J. Algebra Comput. 29 (1), 127-146 (2019).
      (link, pdf)
  25. Jianbei An, Heiko Dietrich, and Shih-Chang Huang.
      Radical 3-subgroups of the finite groups of Lie type E6.
      J. Pure Appl. Algebra 222 (12), 4040 - 4067 (2018).
      (link, pdf)
  26. Jianbei An, Heiko Dietrich, and Shih-Chang Huang.
      Classification of some 3-subgroups of the finite groups of Lie type E6.
      J. Pure Appl. Algebra 222 (12), 4020 - 4039 (2018).
      (link, pdf)
  27. Santiago Barrera Acevedo and Heiko Dietrich.
      Relative difference sets and Hadamard matrices from perfect quaternionic arrays.
      Math. Comput. Sci. 12 (4), 397 - 406 (2018).
      (link, Springer ShareIt, pdf)
  28. Heiko Dietrich and Ian M. Wanless.
      Small partial Latin squares that embed in an infinite group but not into any finite group.
      J. Symb. Comp. 86, 142 - 152 (2018).
      (link, pdf, link to Ian's data page)
  29. Santiago Barrera Acevedo and Heiko Dietrich.
      Perfect sequences over the quaternions and (4n,2,4n,2n)-relative difference sets in C_n×Q₈.
      Cryptogr. Commun. 10 (2), 357 - 368 (2018).
      (link, Springer ShareIt, pdf)
  30. Heiko Dietrich and Nathan J olly.
      A new family of arrays with low autocorrelation.
      Cryptogr. Commun. 9 (6), 737 - 748 (2017).
      (link, Springer ShareIt, pdf)
  31. Heiko Dietrich, Willem A. de Graaf, Daniele Ruggeri, and Mario Trigiante.
      Nilpotent orbits in real symmetric pairs and stationary black holes.
      Fortschr. Phys. 65, 2, 1600118 (2017).
      (link, pdf)
  32. Heiko Dietrich and Bettina Eick.
      Finite p-groups of maximal class with `large' automorphism groups.
      J. Group Theory 20, 227 - 256 (2017).
      (link, pdf)
  33. Costantino Delizia, Heiko Dietrich, Primož Moravec, and Chiara Nicotera.
      Groups in which every non-abelian subgroup is self-centralizing.
      J. Algebra 462, 23 - 36 (2016).
      (link, pdf)
  34. Jianbei An and Heiko Dietrich.
      Maximal 2-local subgroups of E7(q).
      J. Algebra 445, 503 - 536 (2016).
      (link, pdf)
  35. Heiko Dietrich, Paolo Faccin, and Willem A. de Graaf.
      Regular subalgebras and nilpotent orbits of real graded Lie algebras.
      J. Algebra 423, 1044 - 1079 (2015).
      (link, pdf)
  36. Heiko Dietrich, Charles R. Leedham-Green, and Eamonn A. O'Brien.
      Effective black-box constructive recognition of classical groups.
      J. Algebra 421, 460 - 492 (2015).
      (link, pdf)
  37. Heiko Dietrich, Paolo Faccin, and Willem A. de Graaf.
      A GAP package for computing with real semisimple Lie algebras.
      in H. Hong and C. Yap (Eds.): ICMS 2014, LNCS 8592, pp. 59 - 66. Springer, Heidelberg (2014).
      (link, pdf)
  38. Jianbei An, Heiko Dietrich, and Shih-Chang Huang.
      Radical subgroups of the finite exceptional groups of Lie type E6.
      J. Algebra 409, 387 - 429 (2014).
      (link, pdf)
  39. Jianbei An and Heiko Dietrich.
      Radical 3-subgroups of F4(q) with q even.
      J. Algebra 398, 542 - 568 (2014).
      (link, pdf)
  40. Heiko Dietrich, Paolo Faccin, and Willem A. de Graaf.
      Computing with real Lie algebras: real forms, Cartan decompositions, and Cartan subalgebras.
      J. Symb. Computation 56, 27 - 45 (2013).
      (link, pdf)
  41. Heiko Dietrich, Charles R. Leedham-Green, Frank Lübeck, and Eamonn A. O'Brien.
      Constructive recognition of classical groups in even characteristic.
      J. Algebra 391, 227 - 255 (2013).
      (link, pdf)
  42. Heiko Dietrich and Willem A. de Graaf.
      A computational approach to the Kostant-Sekiguchi correspondence.
      Pacific J. Mathematics 265 (2), 349 - 379 (2013).
      (link, pdf)
  43. Jianbei An and Heiko Dietrich.
      The essential rank of Brauer categories for finite groups of Lie type.
      Bull. London Math. Soc. 45 (2), 363 - 369 (2013).
      (link, pdf)
  44. Heiko Dietrich and Bettina Eick.
      Addendum to "On the Groups of Cube-Free Order".
      J. Algebra 367, 247 - 248 (2012).
      (link, pdf)
  45. Jianbei An and Heiko Dietrich.
      The AWC-goodness and essential rank of sporadic simple groups.
      J. Algebra 356, 325 - 354 (2012).
      (link, pdf)
      Errata of tables can be found here (version of 01.01.2013)
  46. Jianbei An and Heiko Dietrich.
      The essential rank of classical groups.
      J. Algebra 354, 148 - 157 (2012).
      (link, pdf)
  47. Jianbei An and Heiko Dietrich.
      The essential rank of fusions systems of blocks of symmetric groups.
      Internat. J. Algebra Comput. 22 (1), 1250002, 15 pp. (2012).
      (link, pdf)
  48. Heiko Dietrich and Primož Moravec.
      On the autocommutator subgroup and absolute centre of a group.
      J. Algebra 341, 150 - 157 (2011).
      (link, pdf)
  49. Heiko Dietrich.
      A new periodic pattern in the graph of p-groups of maximal class.
      Bull. London Math. Soc. 42 (6), 1073 - 1088 (2010).
      (link, pdf)
  50. Heiko Dietrich.
      Periodic patterns in the graph of p-groups of maximal class.
      J. Group Theory 13, 851 - 871 (2010).
      (link, pdf)
  51. Heiko Dietrich and Heiko Harborth.
      Turan number for chessboard graphs.
      Congr. Numer. 199, 175 - 185 (2009).
      (pdf)
  52. Heiko Dietrich, Bettina Eick, and Dörte Feichtenschlager.
      Investigating p-groups by coclass with GAP.
      Contemp. Math., AMS, Providence, RI, Vol. 470, 45 - 61 (2008).
      (link, pdf)
  53. John H. Conway, Heiko Dietrich, and Eamonn A. O'Brien.
      Counting groups: gnus, moas and other exotica
      Math. Intelligencer 30, nr. 2, Spring 2008, 6 - 15 (2008).
      (link , pdf)
  54. Heiko Dietrich and Heiko Harborth.
      Weak Independence Number For Grid Graphs.
      Congr. Numer. 175, 175 - 182 (2005).
      (pdf)
  55. Heiko Dietrich and Bettina Eick.
      On the Groups of Cube-Free Order.
      J. Algebra 292, 122 - 137 (2005).
      (link, pdf)
  56. Heiko Dietrich and Heiko Harborth.
      Independence on Triangular Triangle Boards.
      Abh. Braunschweig. Wiss. Ges. 54, 73 - 87 (2005)
      (link, pdf)
• Software
  • Heiko Dietrich, Paolo Faccin, and Willem de Graaf.
    The refereed GAP package CoReLG,
    official GAP website of the package can be found here.
  • Heiko Dietrich.
    The refereed GAP package Cubefree,
    official GAP website of the package can be found here.
  • Heiko Dietrich.
    Implementation of a black-box constructive recognition algorithm for classical matrix groups, even characteristic; distributed with Magma.
  • Heiko Dietrich and Darren Low.
    GAP code to construct and identify finite groups with cyclic Sylow subgroups (C-groups), available at github.
  • Heiko Dietrich and Alexander Hulpke.
    GAP code to construct non-solvable quotients and universal extensions, available at github.
  • Heiko Dietrich and Eileen Pan.
    GAP code to construct groups of small order type, available at github.
• Reports and other articles
  • Heiko Dietrich.
    Some comments on group isomorphism.
    Oberwolfach Reports 38/2021. 2034-2037 (2021).
    (link to pdf)
  • Heiko Dietrich and Primož Moravec.
    On a group functor describing invariants of algebraic surfaces.
    Oberwolfach Preprints 2019-08. DOI 10.14760/OWP-2019-08 (2019).
    (link to pdf)
  • Heiko Dietrich and Daniel V. Mathews.
    Performance targets in academica and the mathematical sciences.
    Austral. Math. Soc. Gaz. 45 (3), 153 - 161 (2018).
    (link, pdf)
  • Heiko Dietrich.
    A short survey on coclass graphs.
    Oberwolfach Reports 37/2016, 2140 - 2141 (2016).
    (link to pdf)
  • Heiko Dietrich.
    Constructive recognition of classical matrix groups in even characteristic.
    Oberwolfach Reports 37/2011, 2126 - 2127 (2011).
    (link to pdf)
• Theses and books
  • Coclass graphs of p-groups (with Bettina Eick)
    Book (in preparation since 2022)
  • Doctoral thesis, University of Braunschweig, Germany, 2009.
    Title: Periodic structures in the graph associated with p-groups of maximal class.
    Published electronically and also at the
    Südwestdeutscher Verlag für Hochschulschriften with ISBN-13 9783838110059
    (link, pdf)
    
  • Diploma thesis, University of Braunschweig, Germany, 2005.
    Title: On the groups of cube-free order.
    (pdf)

Previous and current collaborators

The following list contains colleagues with whom I have collaborated (or with whom I am currently collaborating); please click on the heading to expand the list.

• List of co-authors / collaborators
  • Argentina (1): Marcos Origlia
  • Australia (13): Vishnuram Arumugam, Santiago Barrera Acevedo, Murray Elder, Stephen Glasby, Nathan J olly, Melissa Lee, Corey Liones, Darren Low, Eileen Pan, Adam Piggott, Tomasz Popiel, Youming Qiao, Ian Wanless
  • England (4): Charles Leedham-Green, Alastair Litterick, Subhrajyoti Saha, Adam Thomas
  • Germany (8): Alexander Cant, Bettina Eick, Dörte Feichtenschlager, Wolfgang Globke, Heiko Harborth, Frank Lübeck, Tobias Moede, Armin Weiß
  • Ireland (2): Ronan Egan, Padraig Ó Catháin
  • Italy (6): Willem de Graaf, Costantino Delizia, Paolo Faccin, Chiara Nicotera, Mario Trigiante, Daniele Ruggeri
  • New Zealand (4): Jianbei An, Tanya Evans, Eamonn O'Brien, Jeroen Schillewaert
  • Slovenia (1): Primož Moravec
  • Spain (1): Alessio Marrani
  • Taiwan (1): Shih-Chang Huang
  • USA (3): John Conway, Alexander Hulpke, James Wilson

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