Journal Articles

Grazian, V, Parker, C, Semeraro, J, van Beek, M (2026) Fusion systems related to polynomial representations of SL₂(q), Journal of the London Mathematical Society, 113(3), e70481, ISSN: 0024-6107. DOI: 10.1112/jlms.70481.

Kessar, R, Lincklemann, M, Lynd, J, Semeraro, J (2026) Weight conjectures for fusion systems on an extraspecial group, Journal of the Australian Mathematical Society, pp.1-21, ISSN: 1446-7887. DOI: 10.1017/s1446788725101390.

Kessar, R, Semeraro, J, Serwene, P, Tuvay, İ (2025) Weight conjectures for Parker–Semeraro fusion systems, Journal of Pure and Applied Algebra, 229(12), 108140, ISSN: 0022-4049. DOI: 10.1016/j.jpaa.2025.108140.

Rossi, D and Semeraro, J (2025) On e-local Structures for ℤℓ-spetses, International Mathematics Research Notices, 2025(18), ISSN: 1073-7928. DOI: 10.1093/imrn/rnaf288.

Leary, IJ and Semeraro, J (2025) Spectra of subrings of cohomology generated by characteristic classes for fusion systems, Bulletin of the London Mathematical Society, 57(7), pp.1990-2005, ISSN: 0024-6093. DOI: 10.1112/blms.70074.

Gunderson, K and Semeraro, J (2024) Turán numbers and switching, Discrete Mathematics, 348(2), 114275, ISSN: 0012-365X. DOI: 10.1016/j.disc.2024.114275.

Kessar, R, Malle, G, Semeraro, J (2024) Weight conjectures for ℓ-compact groups and spetses, Annales Scientifiques de l'Ecole Normale Superieure, 57(3), pp.841-894, ISSN: 0012-9593. DOI: 10.24033/asens.2583.

Kessar, R, Malle, G, Semeraro, J (2024) Weights for compact connected Lie groups, Manuscripta Mathematica, 174(3), pp.1059-1073, ISSN: 0025-2611. DOI: 10.1007/s00229-024-01538-2.

Semeraro, J (2023) Weights for ℓ-local compact groups, Journal of Algebra, 636, pp.357-372, ISSN: 0021-8693. DOI: 10.1016/j.jalgebra.2023.08.029.

Lynd, J and Semeraro, J (2023) Weights in a Benson-Solomon block, Forum of Mathematics Sigma, 11, pp.1-30, DOI: 10.1017/fms.2023.53.

Kessar, R, Malle, G, Semeraro, J (2023) The principal block of a Z_ℓ-spets and Yokonuma type algebras, Algebra & Number Theory, 17(2), pp.397-433, ISSN: 1937-0652. DOI: 10.2140/ant.2023.17.397.

Semeraro, J (2021) A 2-compact group as a spets, Experimental Mathematics, 32(1), pp.140-155, ISSN: 1058-6458. DOI: 10.1080/10586458.2021.1926004.

Parker, C and Semeraro, J (2021) Algorithms for fusion systems with applications to p-groups of small order, Mathematics of Computation, 90, pp.2415-2461, ISSN: 0025-5718. DOI: 10.1090/mcom/3634.

Kessar, R, Linckelmann, M, Lynd, J, Semeraro, J (2019) Weight conjectures for fusion systems, Advances in Mathematics, 357, pp.106825-106825, ISSN: 0001-8708. DOI: 10.1016/j.aim.2019.106825.

Parker, C and Semeraro, J (2019) Fusion systems on maximal class 3-groups of rank two revisited, Proceedings of the American Mathematical Society, 147(9), pp.3773-3786, ISSN: 0002-9939. DOI: 10.1090/proc/14552.

Parker, C and Semeraro, J (2018) Fusion systems over a Sylow p-subgroup of $${\text {G}}_2(p)$$ G 2 ( p ), Mathematische Zeitschrift, 289(1-2), pp.629-662, ISSN: 0025-5874. DOI: 10.1007/s00209-017-1969-x.

Gill, N, Gillespie, NI, Semeraro, J (2018) Conway Groupoids and Completely Transitive Codes, Combinatorica, 38(2), pp.399-442, ISSN: 0209-9683. DOI: 10.1007/s00493-016-3433-7.

Cameron, PJ and Semeraro, J (2018) The Cycle Polynomial of a Permutation Group, The Electronic Journal of Combinatorics, 25(1), p.1.14, DOI: 10.37236/7299.

Craven, DA, Oliver, B, Semeraro, J (2017) Reduced fusion systems over p-groups with abelian subgroup of index p: II, Advances in Mathematics, 322, pp.201-268, ISSN: 0001-8708. DOI: 10.1016/j.aim.2017.10.001.

Gunderson, K and Semeraro, J (2017) Tournaments, 4-uniform hypergraphs, and an exact extremal result, Journal of Combinatorial Theory, Series B, 126, pp.114-136, ISSN: 0095-8956. DOI: 10.1016/j.jctb.2017.04.001.

Gill, N, Gillespie, NI, Nixon, A, Semeraro, J (2016) GENERATING GROUPS USING HYPERGRAPHS, The Quarterly Journal of Mathematics, 67(1), pp.29-52, ISSN: 0033-5606. DOI: 10.1093/qmath/haw001.

Gunderson, K, Morrison, N, Semeraro, J (2016) Bounding the number of hyperedges in friendship r-hypergraphs, European Journal of Combinatorics, 51, pp.125-134, ISSN: 0195-6698. DOI: 10.1016/j.ejc.2015.05.002.

Henke, E and Semeraro, J (2015) Centralizers of normal subgroups and theZ⁎-theorem, Journal of Algebra, 439, pp.511-514, ISSN: 0021-8693. DOI: 10.1016/j.jalgebra.2015.06.027.

Semeraro, J (2015) Centralizers of subsystems of fusion systems, Journal of Group Theory, 18(3), pp.393-405, ISSN: 1433-5883. DOI: 10.1515/jgth-2014-0048.

Semeraro, J (2014) Trees of fusion systems, Journal of Algebra, 399, pp.1051-1072, ISSN: 0021-8693. DOI: 10.1016/j.jalgebra.2013.10.024.

Other

Semeraro, J (2024) Corrigendum to Centralizers of subsystems of fusion systems [J.~Group Theory 18 (2015), 393--405], We fill in a gap in the proof of Theorem A in our earlier paper [J. Semeraro, Centralizers of subsystems of fusion systems, J. Group Theory 18 (2015), 3, 393–405]. DOI: 10.1515/jgth-2024-0142.

Gill, N, Gillespie, N, Praeger, C, Semeraro, J (2017) Conway’s groupoid and its relatives,

In 1987, John Horton Conway constructed a subset M 13 M_{13} of permutations on a set of size 13 13 for which the subset fixing any given point is isomorphic to the Mathieu group M 12 M_{12} . The construction has fascinated mathematicians for the past thirty years, and remains remarkable in its mathematical isolation. It is based on a “moving-counter puzzle” on the projective plane P G ( 2 , 3 ) \mathrm {PG}(2,3) . This survey, a homage to John Conway and his mathematics, discusses consequences and generalisations of Conway’s construction. In particular it explores how various designs and hypergraphs can be used instead of P G ( 2 , 3 ) \mathrm {PG}(2,3) to obtain interesting analogues of M 13 M_{13} . In honour of John Conway, we refer to these analogues as Conway groupoids . A number of open questions are presented.

. DOI: 10.1090/conm/694/13962.