Special inverse monoids: subgroups, structure, geometry, rewriting systems and the word problem - EPSRC First Grant

Research output

Research output per year 2017 2017 2019 2020 2021 2022 2024 2025

• 15 Article

Research output per year

Research output per year

Search results

• 2025

  Maximal subgroups of finitely presented special inverse monoids

  Gray, R. & Kambites, M., 7 Jan 2025, (E-pub ahead of print) In: Journal of the European Mathematical Society.

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

  Open Access

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  2 Downloads (Pure)
• 2024

  On groups of units of special and one-relator inverse monoids

  Gray, R. D. & Ruškuc, N., Jul 2024, In: Journal of the Institute of Mathematics of Jussieu. 23, 4, p. 1875-1918 44 p.

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

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  1 Citation (SciVal)

  9 Downloads (Pure)

• Topological finiteness properties of monoids Part 2: special monoids, one-relator monoids, amalgamated free products, and HNN extensions

  Gray, R. D. & Steinberg, B., 8 May 2024, In: Documenta Mathematica. 29, 3, p. 511-560 50 p.

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

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  10 Downloads (Pure)
• 2022

  A Lyndon’s identity theorem for one-relator monoids

  Gray, R. D. & Steinberg, B., 27 Apr 2022, In: Selecta Mathematica-New Series. 28, 3, 59.

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

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  4 Citations (Scopus)

  22 Downloads (Pure)

• Topological finiteness properties of monoids Part 1: Foundations

  Gray, R. & Steinberg, B., 2022, In: Algebraic & Geometric Topology. 22, 7, p. 3083-3170 88 p.

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

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  3 Citations (Scopus)

  14 Downloads (Pure)
• 2021

  Ehresmann theory and partition monoids

  East, J. & Gray, R., 1 Aug 2021, In: Journal of Algebra. 579, p. 318-352 35 p.

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

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  7 Citations (Scopus)

  30 Downloads (Pure)

• Free inverse monoids are not FP₂

  Gray, R. & Steinberg, B., 8 Oct 2021, In: Comptes Rendus Mathematique. 359, 8, p. 1047-1057 11 p.

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

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  3 Citations (SciVal)

  15 Downloads (Pure)

• New results on the prefix membership problem for one-relator groups

  Dolinka, I. & Gray, R., 2021, In: Transactions of the American Mathematical Society. 374, 6, p. 4309-4358 50 p.

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

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  3 Citations (Scopus)

  29 Downloads (Pure)
• 2020

  On cogrowth, amenability and the spectral radius of a random walk on a semigroup

  Gray, R. D. & Kambites, M., Jun 2020, In: International Mathematics Research Notices. 2020, 12, p. 3753–3793 41 p.

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

  Open Access

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  2 Citations (Scopus)

  30 Downloads (Pure)

• Undecidability of the word problem for one-relator inverse monoids via right-angled Artin subgroups of one-relator groups

  Gray, R., Mar 2020, In: Inventiones Mathematicae. 219, 3, p. 987-1008 22 p.

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

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  11 Citations (SciVal)

  42 Downloads (Pure)
• 2019

  Crystal monoids & crystal bases: rewriting systems and biautomatic structures for plactic monoids of types A_n, B_n, C_n, D_n, and G₂

  Cain, A., Gray, R. & Malheiro, A., Feb 2019, In: Journal of Combinatorial Theory, Series A. 162, p. 406-466 61 p.

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

  Open Access

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  6 Citations (SciVal)

  23 Downloads (Pure)

• Permutation monoids and MB-homogeneity for graphs and relational structures

  Coleman, T., Evans, D. & Gray, R., May 2019, In: European Journal of Combinatorics. 78, p. 163-189 27 p.

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

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  8 Citations (SciVal)

  17 Downloads (Pure)
• 2017

  On finite complete rewriting systems, finite derivation type, and automaticity for homogeneous monoids

  Cain, A. J., Gray, R. D. & Malheiro, A., Aug 2017, In: Information and Computation. 255, 1, p. 68-93 6 p.

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

  Open Access

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  2 Citations (Scopus)

  22 Downloads (Pure)

• On regularity and the word problem for free idempotent generated semigroups

  Dolinka, I., Gray, R. D. & Ruškuc, N., Mar 2017, In: Proceedings of the London Mathematical Society. 114, 3, p. 401–432 32 p.

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

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  13 Citations (Scopus)

  20 Downloads (Pure)

• Supramolecular amino acid based hydrogels: Probing the contribution of additive molecules using NMR spectroscopy

  Ramalhete, S. M., Nartowski, K. P., Sarathchandra, N., Foster, J. S., Round, A. N., Angulo, J., Lloyd, G. O. & Khimyak, Y. Z., 12 Jun 2017, In: Chemistry - A European Journal. 23, 33, p. 8014–8024 11 p.

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

  Open Access

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  53 Citations (SciVal)

  35 Downloads (Pure)