Martyn Quick: Publications

- James Belk, Collin Bleak, Martyn Quick & Rachel Skipper,
"Type systems and maximal subgroups of Thompson's group
*V*" (Jun 2022). arXiv:2206.12631 - Martyn Quick,
"Permutation-based presentations for Brin's higher-dimensional Thompson groups
*nV*," J. Aust. Math. Soc. 116 (2024), 39-67. arXiv:1901.04409 - Benjamin Klopsch & Martyn Quick, "The structure of groups with all proper quotients virtually nilpotent," Pacific J. Math. 325 (2023), 147-189. arXiv:2211.07567
- 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
- Gerard O'Reilly, Martyn Quick & Nik Ruskuc, "On separability properties in direct products of semigroups," Monatsh. Math. 197 (2022), 333-352. arXiv:2102.10872
- 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 - 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 - 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
- Nina E. Menezes, Martyn Quick & Colva M. Roney-Dougal, "The probability of generating a finite simple group," Israel J. Math. 198 (2013), 371-392.
- 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.
- Hannah J. Coutts, Martyn Quick & Colva M. Roney-Dougal, "The primitive permutation groups of degree less than 4096," Comm. Algebra 39 (2011), 3526-3546.
- 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.] - Martyn Quick & N. Ruskuc, "Growth of generating sets for direct powers of classical algebraic structures," J. Austral. Math. Soc. 89 (2010), 105-126.
- 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.
- Martyn Quick, "Groups with virtually abelian proper quotients," J. London Math. Soc. 75 (2007), no. 3, 597-609.
- Martyn Quick, "Maximal complements in finite groups," Comm. Algebra 35 (2007), no. 4, 1263-1273.
- J.D. Mitchell, Y. Péresse and M.R. Quick, "Generating sequences of functions," Quart. J. Math. 58 (2007), no. 1, 71-79.
- Martyn Quick, "Probabilistic generation of wreath products of non-abelian finite simple groups, II," Internat. J. Algebra Comput. 16 (2006), no. 3, 493-503.
- Martyn Quick, "Probabilistic generation of wreath products of non-abelian finite simple groups," Comm. Algebra 32 (2004), 4753-4768.
- Martyn Quick, "Finitely based varieties of pointed-groups," Arch. Math. 81 (2003), 614-620.
- Christopher Parker and Martyn Quick, "Maximal complements in wreath products," J. Algebra 266 (2003), 320-337.
- Martyn Quick, "Subspace topologies in central extensions," J. Algebra 246 (2001), 491-513.
- Christopher Parker and Martyn Quick, "Coprime automorphisms and their commutators," J. Algebra 244 (2001), 260-272.
- Martyn Quick, "Varieties of groups of exponent 4," J. London Math. Soc. (2) 60 (1999), 747-756.
- Martyn Quick, "A classification of some insoluble varieties of groups of exponent four," J. Algebra 197 (1997), 342-371.
- 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.

- 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
- 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
- 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
- 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
- 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
- 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

- 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).

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