Currently browsing: Items authored or edited by Nick Gill

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Garzoni, Daniele and Gill, Nick (2022). On the number of conjugacy classes of a primitive permutation group. Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Early access).

Gill, N. and Lodà, B. (2022). Statistics for Sn acting on k-sets. Journal of Algebra (Early access).

Gill, Nick; Liebeck, Martin W. and Spiga, Pablo (2022). Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups. Lecture Notes in Mathematics, 2302. Springer Cham.

2021To Top

Gill, Nick; Lodá, Bianca and Spiga, Pablo (2021). On the height and relational complexity of a finite permutation group. Nagoya Mathematical Journal, 246 pp. 372–411.

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Gill, N.; Pyber, L. and Szabó, E. (2020). A generalization of a theorem of Rodgers and Saxl for simple groups of bounded rank. Bulletin of the London Mathematical Society, 52(3) pp. 464–471.

Gill, Nick and Spiga, Pablo (2020). Binary permutation groups: Alternating and classical groups. American Journal of Mathematics, 142(1) pp. 1–43.

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Gill, Nick; Hunt, Francis and Spiga, Pablo (2019). Cherlin's conjecture for almost simple groups of Lie rank 1. Mathematical Proceedings of the Cambridge Philosophical Society, 167(3) pp. 417–435.

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Gill, Nick; Gillespie, Neil I. and Semeraro, Jason (2018). Conway Groupoids and Completely Transitive Codes. Combinatorica, 38(2) pp. 399–442.

Dalla Volta, Francesca; Gill, Nick and Spiga, Pablo (2018). Cherlin’s conjecture for sporadic simple groups. Pacific Journal of Mathematics, 297(1) pp. 47–66.

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Gill, Nick; Gillespie, Neil; Praeger, Cheryl and Semeraro, Jason (2017). Conway’s groupoid and its relatives. In: Bhargava, Manjul; Guralnick, Robert; Hiss, Gerhard; Lux, Klaus and Tiep, Pham Huu eds. Finite Simple Groups: Thirty Years of the Atlas and Beyond. Contemporary Mathematics, 694. American Mathematical Society, pp. 91–110.

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Barrantes, Daniel; Gill, Nick and Ramírez, Jeremías (2016). Abelian covers of alternating groups. Archiv der Mathematik, 107(2) pp. 135–150.

Gill, Nick (2016). Quasirandom group actions. Forum of Mathematics, Sigma, 4, article no. e24.

Gill, Nick (2016). Transitive projective planes and insoluble groups. Transactions of the American Mathematical Society, 368(5) pp. 3017–3057.

Gill, Nick; Gillespie, Neil I.; Nixon, Anthony and Semeraro, Jason (2016). Generating groups using hypergraphs. The Quarterly Journal of Mathematics, 67(1) pp. 29–52.

Britnell, John R. and Gill, Nick (2016). Perfect commuting graphs. Journal of Group Theory, 20(1)

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Gill, Nick; Helfgott, Harald A. and Rudnev, Misha (2015). On growth in an abstract plane. Proceedings of the American Mathematical Society, 143(8) pp. 3593–3602.

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Gill, Nick and Helfgott, Harald Andrés (2014). Growth in solvable subgroups of GLr(Z/pZ). Mathematische Annalen, 360(1-2) pp. 157–208.

Bamberg, John; Gill, Nick; Hayes, Thomas P.; Helfgott, Harald A.; Seress, Akos and Spiga, Pablo (2014). Bounds on the diameter of Cayley graphs of the symmetric group. Journal of Algebraic Combinatorics, 40(1) pp. 1–22.

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Gill, Nick (2013). A note on the Weiss conjecture. Journal of the Australian Mathematical Society, 95(3) pp. 356–361.

Gill, Nick; Pyber, László; Short, Ian and Szabó, Endre (2013). On the product decomposition conjecture for finite simple groups. Groups, Geometry, and Dynamics, 7(4) pp. 867–882.

Short, Ian and Gill, Nick (2013). Conjugacy in Thompson's group $F$. Proceedings of the American Mathematical Society, 141 pp. 1529–1538.

Gill, Nick (2013). (2,m,n)-groups with Euler characteristic equal to $-2^as^b$. Electronic Journal of Combinatorics, 20(3), article no. 8.

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Gill, Nick and Singh, Anupam (2011). Real and strongly real classes in SLn(q). Journal of Group Theory, 14(3) pp. 437–459.

Gill, Nick and Helfgott, Harald Andres (2011). Growth of small generating sets in SLn(ℤ/pℤ). International Mathematics Research Notices, 18 pp. 4226–4251.

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Gill, Nick; O'Farrell, Anthony G. and Short, Ian (2009). Reversibility in the group of homeomorphisms of the circle. Bulletin of the London Mathematical Society, 41(5) pp. 885–897.

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Camina, Alan R.; Gill, Nick and Zalesski, A. E. (2008). Large dimensional classical groups and linear spaces. Bulletin of the Belgian Mathematical Society (Simon Stevin), 15(4) pp. 705–731.

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Gill, Nick (2007). Transitive projective planes. Advances in Geometry, 7(4) pp. 475–528.

Gill, Nick (2007). Polar spaces and embeddings of classical groups. New Zealand Journal of Mathematics, 36 pp. 175–184.

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Gill, Nick (2006). Nilpotent Singer groups. Electronic Journal of Combinatorics, 13(1) R94.

Gill, Nick (2006). Linear spaces with significant characteristic prime. Innovations in Incidence Geometry, 3 pp. 109–119.


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