Dr Martyn Quick

Senior Lecturer

Researcher profile

Phone

+44 (0)1334 46 3752

Email

mq3@st-andrews.ac.uk

Office

326 MI

Location

Mathematical Institute

 

Research areas

Structural properties of groups and related algebraic structures, including both infinite and finite groups.

Examples of topics considered include: generating sets for groups and other algebraic structures; probabilistic generation of finite and profinite groups; links between the algebraic structure and the topological structure of profinite groups; groups arising from transformations of various combinatorial structures.

See also: personal webpage

PhD supervision

• Jiaping Lu
• Liam Stott

Selected publications

• Open access

  Automorphism groups of linearly ordered structures and endomorphisms of the ordered set (Q,≤) of rational numbers

  McPhee, J. D., Mitchell, J. D. & Quick, M., Mar 2019, In: Quarterly Journal of Mathematics. 70, 1, p. 171-194 24 p.

  Research output: Contribution to journal › Article › peer-review

• Open access

  Permutation-based presentations for Brin's higher-dimensional Thompson groups nV

  Quick, M., 1 Feb 2024, In: Journal of the Australian Mathematical Society. 116, 1, p. 39-67 29 p.

  Research output: Contribution to journal › Article › peer-review

• Open access

  The infinite simple group V of Richard J. Thompson: presentations by permutations

  Bleak, C. & Quick, M., 2017, In: Groups, Geometry, and Dynamics. 11, 4, p. 1401-1436 36 p.

  Research output: Contribution to journal › Article › peer-review

• Open access

  Automorphism groups of countable algebraically closed graphs and endomorphisms of the random graph

  Dolinka, I., Gray, R. D., McPhee, J. D., Mitchell, J. D. & Quick, M., May 2016, In: Mathematical Proceedings of the Cambridge Philosophical Society. 160, 3, p. 437-462 26 p.

  Research output: Contribution to journal › Article › peer-review

• Open access

  The probability of generating a finite simple group

  Menezes, N. E., Quick, M. & Roney-Dougal, C. M., Nov 2013, In: Israel Journal of Mathematics. 198, 1, p. 371-392 22 p.

  Research output: Contribution to journal › Article › peer-review

 

See more publications