Fusari, Marco; Previtali, Andrea; Spiga, Pablo Cliques in derangement graphs for innately transitive groups. (English) Zbl 07919810 J. Group Theory 27, No. 5, 929-965 (2024). MSC: 20Bxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Fusari, Marco; Previtali, Andrea; Spiga, Pablo Groups having minimal covering number \(2\) of the diagonal type. (English) Zbl 07914834 Math. Nachr. 297, No. 8, 2918-2926 (2024). Reviewer: Egle Bettio (Venezia) MSC: 20D05 20D60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gill, Nick; Giudici, Michael; Spiga, Pablo A generalization of Szep’s conjecture for almost simple groups. (English) Zbl 1537.20033 Vietnam J. Math. 52, No. 2, 325-359 (2024). Reviewer: Enrico Jabara (Venezia) MSC: 20D05 20E32 20D06 05A17 11P81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Dalla Volta, Francesca; Mastrogiacomo, Fabio; Spiga, Pablo On the strong connectivity of the \(2\)-Engel graphs of almost simple groups. (English) Zbl 1535.20124 J. Group Theory 27, No. 2, 297-312 (2024). Reviewer: Enrico Jabara (Venezia) MSC: 20D60 20D05 20F45 05C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fusari, Marco; Spiga, Pablo On the maximum number of subgroups of a finite group. (English) Zbl 1522.20084 J. Algebra 635, 486-526 (2023). MSC: 20D60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Potočnik, Primož; Spiga, Pablo On the number of fixed points of automorphisms of vertex-transitive graphs. (English) Zbl 1499.05290 Combinatorica 41, No. 5, 703-747 (2021). Reviewer: Robert Jajcay (Bratislava) MSC: 05C25 20B25 × Cite Format Result Cite Review PDF Full Text: DOI
Potočnik, Primož; Spiga, Pablo On the minimal degree of a transitive permutation group with stabilizer a 2-group. (English) Zbl 1482.20001 J. Group Theory 24, No. 3, 619-634 (2021). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20B15 20B25 20B20 20D08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Lucchini, Andrea; Moscatiello, Mariapia; Palcoux, Sebastien; Spiga, Pablo Boolean lattices in finite alternating and symmetric groups. (English) Zbl 1485.20060 Forum Math. Sigma 8, Paper No. e55, 35 p. (2020). MSC: 20D30 20B25 20B30 20B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Muzychuk, Mikhail; Spiga, Pablo Finite primitive groups of small rank: symmetric and sporadic groups. (English) Zbl 1530.20010 J. Algebr. Comb. 52, No. 2, 103-136 (2020). MSC: 20B15 20E28 05E18 20D06 20D08 × Cite Format Result Cite Review PDF Full Text: DOI
Spiga, Pablo On a conjecture on the permutation characters of finite primitive groups. (English) Zbl 1481.20005 Bull. Aust. Math. Soc. 102, No. 1, 77-90 (2020). MSC: 20B15 20C15 20D06 20D08 × Cite Format Result Cite Review PDF Full Text: DOI
Detomi, Eloisa; Lucchini, Andrea; Moscatiello, Mariapia; Spiga, Pablo; Traustason, Gunnar Groups satisfying a strong complement property. (English) Zbl 1446.20045 J. Algebra 535, 35-52 (2019). Reviewer: Egle Bettio (Venezia) MSC: 20E22 20D40 20D60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Spiga, Pablo Cubic graphical regular representations of finite non-abelian simple groups. (English) Zbl 1397.20005 Commun. Algebra 46, No. 6, 2440-2450 (2018). MSC: 20B25 05C25 20D06 20D08 × Cite Format Result Cite Review PDF Full Text: DOI
Guest, Simon; Spiga, Pablo Finite primitive groups and regular orbits of group elements. (English) Zbl 1401.20005 Trans. Am. Math. Soc. 369, No. 2, 997-1024 (2017). MSC: 20B15 20D06 20G40 20H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dobson, Edward; Spiga, Pablo; Verret, Gabriel Cayley graphs on abelian groups. (English) Zbl 1399.05100 Combinatorica 36, No. 4, 371-393 (2016). Reviewer: Wen-Fong Ke (Tainan) MSC: 05C25 20B25 20K01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dolfi, Silvio; Guralnick, Robert; Praeger, Cheryl E.; Spiga, Pablo On the maximal number of coprime subdegrees in finite primitive permutation groups. (English) Zbl 1398.20004 Isr. J. Math. 216, No. 1, 107-147 (2016). MSC: 20B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Spiga, Pablo Finite primitive groups and edge-transitive hypergraphs. (English) Zbl 1336.05061 J. Algebr. Comb. 43, No. 3, 715-734 (2016). MSC: 05C25 05C65 20B15 20H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meagher, Karen; Spiga, Pablo; Tiep, Pham Huu An Erdős-Ko-Rado theorem for finite 2-transitive groups. (English) Zbl 1333.05306 Eur. J. Comb. 55, 100-118 (2016). MSC: 05D05 20B30 20D06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Spiga, Pablo; Verret, Gabriel On the order of vertex-stabilisers in vertex-transitive graphs with local group \(\mathrm{C}_p \times \mathrm{C}_p\) or \(\mathrm{C}_p\, \mathrm{wr}\, \mathrm{C}_2\). (English) Zbl 1329.05306 J. Algebra 448, 174-209 (2016). MSC: 05E18 20B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guest, Simon; Morris, Joy; Praeger, Cheryl E.; Spiga, Pablo On the maximum orders of elements of finite almost simple groups and primitive permutation groups. (English) Zbl 1330.20002 Trans. Am. Math. Soc. 367, No. 11, 7665-7694 (2015). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20B15 20D06 20D08 20D60 20E28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Potočnik, Primož; Spiga, Pablo; Verret, Gabriel Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs. (English) Zbl 1307.05114 J. Comb. Theory, Ser. B 111, 148-180 (2015). MSC: 05C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giudici, Michael; Praeger, Cheryl E.; Spiga, Pablo Finite primitive permutation groups and regular cycles of their elements. (English) Zbl 1308.20001 J. Algebra 421, 27-55 (2015). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20B15 20D05 20D06 20G40 20H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guest, Simon; Morris, Joy; Praeger, Cheryl E.; Spiga, Pablo Affine transformations of finite vector spaces with large orders or few cycles. (English) Zbl 1332.20001 J. Pure Appl. Algebra 219, No. 2, 308-330 (2015). Reviewer: Nan Ji-Zhu (Dalian) MSC: 20B15 20H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Dolfi, Silvio; Guralnick, Robert; Praeger, Cheryl E.; Spiga, Pablo Coprime subdegrees for primitive permutation groups and completely reducible linear groups. (English) Zbl 1287.20005 Isr. J. Math. 195, Part B, 745-772 (2013). Reviewer: John D. Dixon (Ottawa) MSC: 20C05 20B15 20G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bamberg, John; Giudici, Michael; Morris, Joy; Royle, Gordon F.; Spiga, Pablo Generalised quadrangles with a group of automorphisms acting primitively on points and lines. (English) Zbl 1245.05014 J. Comb. Theory, Ser. A 119, No. 7, 1479-1499 (2012). MSC: 05B25 20B25 20B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Praeger, Cheryl E.; Spiga, Pablo; Verret, Gabriel Bounding the size of a vertex-stabiliser in a finite vertex-transitive graph. (English) Zbl 1241.05045 J. Comb. Theory, Ser. B 102, No. 3, 797-819 (2012). MSC: 05C25 05C60 20B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dolfi, Silvio; Pacifici, Emanuele; Sanus, Lucia; Spiga, Pablo On the orders of zeros of irreducible characters. (English) Zbl 1162.20005 J. Algebra 321, No. 1, 345-352 (2009). Reviewer: Thomas Michael Keller (San Marcos) MSC: 20C15 20D20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Spiga, Pablo Permutation characters and fixed-point-free elements in permutation groups. (English) Zbl 1102.20001 J. Algebra 299, No. 1, 1-7 (2006). Reviewer: Alice Devillers (Bruxelles) MSC: 20B05 20C15 20B20 × Cite Format Result Cite Review PDF Full Text: DOI