Recent publications
Article
Franchi, C, Mainardis, M & Shpectorov, S 2025, '2-generated axial algebras of Monster type', Journal of Algebra, vol. 683, pp. 60-115. https://doi.org/10.1016/j.jalgebra.2025.06.023
Gorshkov, IB, McInroy, J, Mudziiri Shumba, TM & Shpectorov, S 2025, 'Automorphism groups of axial algebras', Journal of Algebra, vol. 661, pp. 657-712. https://doi.org/10.1016/j.jalgebra.2024.08.007
Rodrigues, BG & Shpectorov, S 2025, 'Radicals in flip subalgebras of Matsuo algebras', Arabian Journal of Mathematics. https://doi.org/10.1007/s40065-025-00511-5
Franchi, C, Mainardis, M & Shpectorov, S 2023, '2-generated axial algebras of Monster type (2β,β)', Journal of Algebra, vol. 636, pp. 123-170. https://doi.org/10.1016/j.jalgebra.2023.08.020
Mcinroy, J & Shpectorov, S 2023, 'From forbidden configurations to a classification of some axial algebras of Monster type', Journal of Algebra, vol. 627, pp. 58-105. https://doi.org/10.1016/j.jalgebra.2023.03.003
Franchi, C, Mainardis, M & Shpectorov, S 2022, 'An infinite-dimensional 2-generated primitive axial algebra of Monster type', Annali di Matematica Pura ed Applicata, vol. 201, pp. 1279-1293. https://doi.org/10.1007/s10231-021-01157-8
Khasraw, SMS, McInroy, J & Shpectorov, S 2022, 'Enumerating 3-generated axial algebras of Monster type', Journal of Pure and Applied Algebra, vol. 226, no. 2, 106816. https://doi.org/10.1016/j.jpaa.2021.106816
McInroy, J & Shpectorov, S 2022, 'Split spin factor algebras', Journal of Algebra, vol. 595, pp. 380-397. https://doi.org/10.1016/j.jalgebra.2021.12.022
Galt, A, Joshi, V, Mamontov, A, Shpectorov, S & Staroletov, A 2021, 'Double axes and subalgebras of Monster type in Matsuo algebras', Communications in Algebra, vol. 49, no. 10, pp. 4208-4248. https://doi.org/10.1080/00927872.2021.1917589
Chapter
Meierfrankenfeld, U & Shpectorov, S 2023, Maximal 2-Local Subgroups of the Monster and Baby Monster. in AA Ivanov (ed.), Algebraic Combinatorics and the Monster Group. London Mathematical Society Lecture Note Series, vol. 487, Cambridge University Press, pp. 200-245. https://doi.org/10.1017/9781009338073.005
Preprint
Shpectorov, S & Zhao, T 2025 'Strongly regular graphs with parameters (85,14,3,2) do not exist' arXiv. https://doi.org/10.48550/arXiv.2504.02449
Rodrigues, BG & Shpectorov, S 2024 'Radicals in flip subalgebras' arXiv. https://doi.org/10.48550/arXiv.2409.05236
Gorshkov, I, Shpectorov, S & Staroletov, A 2024 'Solid subalgebras in algebras of Jordan type half' arXiv, pp. 1-38. https://doi.org/10.48550/arXiv.2401.16218
McInroy, J & Shpectorov, S 2022 'Axial algebras of Jordan and Monster type' arXiv, pp. 1-40. https://doi.org/10.48550/arXiv.2209.08043
McInroy, J & Shpectorov, S 2022 'From forbidden configurations to a classification of some axial algebras of Monster type' arXiv, pp. 1-48. https://doi.org/10.48550/arXiv.2107.07415
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