Martyn Quick: Publications

Articles in refereed journals

  1. James Belk, Collin Bleak, Martyn Quick & Rachel Skipper, "Type systems and maximal subgroups of Thompson's group V," Trans. Amer. Math. Soc. Series B (accepted Jun 2024). arXiv:2206.12631
  2. Martyn Quick, "Permutation-based presentations for Brin's higher-dimensional Thompson groups nV," J. Aust. Math. Soc. 116 (2024), 39-67. arXiv:1901.04409
  3. Benjamin Klopsch & Martyn Quick, "The structure of groups with all proper quotients virtually nilpotent," Pacific J. Math. 325 (2023), 147-189. arXiv:2211.07567
  4. Craig Miller, Gerard O'Reilly, Martyn Quick & Nik Ruskuc, "On separability finiteness conditions in semigroups," J. Aust. Math. Soc. 113 (2022), 402-430. arXiv:2006.08499
  5. Gerard O'Reilly, Martyn Quick & Nik Ruskuc, "On separability properties in direct products of semigroups," Monatsh. Math. 197 (2022), 333-352. arXiv:2102.10872
  6. Jillian D. McPhee, James D. Mitchell & Martyn Quick, "Automorphism groups of linearly ordered structures and endomorphisms of the ordered set (Q,≤) of rational numbers," Q. J. Math. 70 (2019), 171-194. arXiv:1607.03655
  7. Collin Bleak & Martyn Quick, "The infinite simple group V of Richard J. Thompson: presentations by permutations," Groups Geom. Dyn. 11 (2017), 1401-1436. arXiv:1511.02123
  8. Igor Dolinka, Robert D. Gray, Jillian D. McPhee, James D. Mitchell & Martyn Quick, "Automorphism groups of countable algebraically closed graphs and endomorphisms of the random graph," Math. Proc. Cambridge Philos. Soc. 160 (2016), 437-462. arXiv:1408.4107
  9. Nina E. Menezes, Martyn Quick & Colva M. Roney-Dougal, "The probability of generating a finite simple group," Israel J. Math. 198 (2013), 371-392.
  10. J.T. Hyde, N.J. Loughlin, M. Quick, N. Ruskuc & A.R. Wallis, "On the growth of generating sets for direct powers of semigroups," Semigroup Forum 84 (2012), 116-130.
  11. Hannah J. Coutts, Martyn Quick & Colva M. Roney-Dougal, "The primitive permutation groups of degree less than 4096," Comm. Algebra 39 (2011), 3526-3546.
  12. Jonathan McDougall-Bagnall & Martyn Quick, "Groups with the basis property," J. Algebra 346 (2011), 332-339.
    [Note: This paper has an error in it and the main theorem is not correct. See Apisa & Klopsch, and Krempa & Stocka for corrections.]
  13. Martyn Quick & N. Ruskuc, "Growth of generating sets for direct powers of classical algebraic structures," J. Austral. Math. Soc. 89 (2010), 105-126.
  14. J.D. Mitchell, M. Morayne, Y. Péresse & M. Quick, "Generating transformation semigroups using endomorphisms of preorders, graphs, and tolerances," Ann. Pure Appl. Logic 161 (2010), 1471-1485.
  15. Martyn Quick, "Groups with virtually abelian proper quotients," J. London Math. Soc. 75 (2007), no. 3, 597-609.
  16. Martyn Quick, "Maximal complements in finite groups," Comm. Algebra 35 (2007), no. 4, 1263-1273.
  17. J.D. Mitchell, Y. Péresse and M.R. Quick, "Generating sequences of functions," Quart. J. Math. 58 (2007), no. 1, 71-79.
  18. Martyn Quick, "Probabilistic generation of wreath products of non-abelian finite simple groups, II," Internat. J. Algebra Comput. 16 (2006), no. 3, 493-503.
  19. Martyn Quick, "Probabilistic generation of wreath products of non-abelian finite simple groups," Comm. Algebra 32 (2004), 4753-4768.
  20. Martyn Quick, "Finitely based varieties of pointed-groups," Arch. Math. 81 (2003), 614-620.
  21. Christopher Parker and Martyn Quick, "Maximal complements in wreath products," J. Algebra 266 (2003), 320-337.
  22. Martyn Quick, "Subspace topologies in central extensions," J. Algebra 246 (2001), 491-513.
  23. Christopher Parker and Martyn Quick, "Coprime automorphisms and their commutators," J. Algebra 244 (2001), 260-272.
  24. Martyn Quick, "Varieties of groups of exponent 4," J. London Math. Soc. (2) 60 (1999), 747-756.
  25. Martyn Quick, "A classification of some insoluble varieties of groups of exponent four," J. Algebra 197 (1997), 342-371.
  26. Martyn Quick, "The module structure of some lower central factors of Burnside groups of exponent four," Quart. J. Math. Oxford (2) 47 (1996), 469-492.

Edited Books

  1. C.M. Campbell, C.W. Parker, M.R. Quick, E.F. Robertson & C.M. Roney-Dougal (eds.), Groups St Andrews 2017 in Birmingham, London Math. Soc. Lecture Note Ser. 455, CUP, Cambridge 2019
  2. C.M. Campbell, M.R. Quick, E.F. Robertson & C.M. Roney-Dougal (eds.), Groups St Andrews 2013, London Math. Soc. Lecture Note Ser. 422, CUP, Cambridge 2015
  3. C.M. Campbell, M.R. Quick, E.F. Robertson, C.M. Roney-Dougal, G.C. Smith & G. Traustason (eds.), Groups St Andrews 2009 in Bath, Volume 1, London Math. Soc. Lecture Note Ser. 387, CUP, Cambridge 2011
  4. C.M. Campbell, M.R. Quick, E.F. Robertson, C.M. Roney-Dougal, G.C. Smith & G. Traustason (eds.), Groups St Andrews 2009 in Bath, Volume 2, London Math. Soc. Lecture Note Ser. 388, CUP, Cambridge 2011
  5. C.M. Campbell, M.R. Quick, E.F. Robertson & G.C. Smith (eds.), Groups St Andrews 2005, Volume I, London Math. Soc. Lecture Note Ser. 339, CUP, Cambridge 2007
  6. C.M. Campbell, M.R. Quick, E.F. Robertson & G.C. Smith (eds.), Groups St Andrews 2005, Volume II, London Math. Soc. Lecture Note Ser. 340, CUP, Cambridge 2007

Preprints, articles in preparation & others

  1. J. Awang, A. Garrido, A. McLeman, M. Quick & N. Ruskuc, "On the growth of generating sets for direct powers of 2-element algebras" (October 2010).

Reports and Theses

  1. Martyn Quick, "Varieties of groups of exponent four," D.Phil. thesis (University of Oxford, 1995)
  2. Martyn Quick, "Identical relations in groups of exponent four," Doctoral status qualifying dissertation (University of Oxford, 1992)