Marco Antonio Pellegrini

Associate professor in Algebra
Department of Mathematics and Physics, Università Cattolica del Sacro Cuore

Research Interests


  Group Theory


  (2,3)-generation of finite simple groups:

  1. M.A. Pellegrini, M.C. Tamburini Bellani, The (2,3)-generation of the finite simple odd-dimensional orthogonal groups, J. Austral. Math. Soc. 117 (2024), 130--148.
  2. M.A. Pellegrini, M.C. Tamburini Bellani, The (2,3)-generation of the finite 8-dimensional orthogonal groups, J. Group Theory 26 (2023), 333--356.
  3. M.A. Pellegrini, M.C. Tamburini Bellani, On the (2,3)-generation of the finite symplectic groups, J. Algebra 598 (2022), 156--193.
  4. M.A. Pellegrini, M.C. Tamburini Bellani, The (2,3)-generation of the finite unitary groups, J. Algebra 549 (2020), 319--345.
  5. M.A. Pellegrini, The (2,3)-generation of the special linear groups over finite fields, Bull. Austral. Math. Soc. 95 (2017), 48--53.
  6. M.A. Pellegrini, M. Prandelli, M.C. Tamburini Bellani, The (2,3)-generation of the special unitary groups of dimension 6, J. Algebra Appl. 15 (2016), 1650171, 12 pages.
  7. M.A. Pellegrini, The (2,3)-generation of the classical simple groups of dimension 6 and 7, Bull. Austral. Math. Soc., 93 (2016), 61--72.
  8. M.A. Pellegrini, M.C. Tamburini Bellani, The simple classical groups of dimension less than 6 which are (2,3)-generated , J. Algebra Appl. 14 (2015), 1550148, 15 pages.
  9. M.A. Pellegrini, M.C. Tamburini Bellani, Scott's formula and Hurwitz groups, J. Algebra 443 (2015), 126--141.
  10. M.A. Pellegrini, M.C. Tamburini, Finite simple groups of low rank: Hurwitz generation and (2,3)-generation, Int. J. Group Theory 4 (2015), 13--19.
  11. M.A. Pellegrini, M.C. Tamburini Bellani, M.A. Vsemirnov, Uniform (2,k)-generation of the 4-dimensional classical groups, J. Algebra 369 (2012), 322--350.
  12. M.A. Pellegrini, M.C. Tamburini, Hurwitz generation of the universal covering of Alt(n), J. Group Theory 13 (2010), 649--657.

  Regular subgroups:

  1. M.A. Pellegrini, Regular subgroups, nilpotent algebras and projectively congruent matrices, Int. J. Group Theory 7 (2018), 51--56.
  2. M.A. Pellegrini, Isomorphism classes of four dimensional nilpotent associative algebras over a field, Linear Algebra Appl. 533 (2017), 132--160.
  3. M.A. Pellegrini, M.C. Tamburini Bellani, Regular subgroups of the affine group with no translations, J. Algebra 478 (2017), 410--418.
  4. M.A. Pellegrini, M.C. Tamburini Bellani, More on regular subgroups of the affine group, Linear Algebra Appl. 505 (2016), 126--151.

  Characters and representations of finite groups:

  1. M.A. Pellegrini, L. Schena, Unisingular representations of rank 1 finite simple groups of Lie type, to appear in Comm. Algebra (2026).
  2. N. Grittini, M.A. Pellegrini, Sylow normalizers and irreducible characters with small cyclotomic field of values, J. Algebra 608 (2022), 445--464.
  3. L. Di Martino, M.A. Pellegrini, A.E. Zalesski, Almost cyclic elements in cross-characteristic representations of finite groups of Lie type, J. Group Theory 23 (2020), 235--285.
  4. M.A. Pellegrini, Irreducible p-constant characters of finite reflection groups, J. Group Theory 20 (2017), 911--923.
  5. M.A. Pellegrini, A. Zalesski, Irreducible characters of finite simple groups constant at the p-singular elements, Rend. Sem. Mat. Univ. Padova 136 (2016), 35--50.
  6. M.A. Pellegrini, A.E. Zalesskii, On characters of Chevalley groups vanishing at the non-semisimple elements, Internat. J. Algebra Comput. 26 (2016), 789--841.
  7. M.A. Pellegrini, A description of the Steinberg character using Gelfand-Graev characters, Results Math. 67 (2015), 71--85.
  8. L. Di Martino, M.A. Pellegrini, A.E. Zalesski, On generators and representations of the sporadic simple groups, Comm. Algebra 42 (2014), 880--908.
  9. L. Di Martino, M.A. Pellegrini, Th. Weigel, Minimal irreducibility and the unipotent characters of groups of type B_m and C_m, J. Algebra Appl. 8 (2009), 413--451.
  10. M.A. Pellegrini, On the minimal irreducibility of the unipotent characters of the finite unitary groups, Ischia group theory 2008, 209--232, World Sci. Publ., Hackensack, NJ, 2009.
  11. M.A. Pellegrini, The character table of a split extension of the Heisenberg group H_1(q) by Sp(2,q), q odd, Ricerche mat. 57 (2008), 311--320.
  12. M.A. Pellegrini, Finite simple groups admitting minimally irreducible characters of prime power degree, Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 10 (2007), 613--621.
  13. M.A. Pellegrini, A generalized Cameron-Kantor theorem, J. Algebra 304 (2006), 397--418.

  Other works:

  1. M.A. Pellegrini, A.E. Zalesski, Generation of groups of Lie type by regular unipotent elements, Eur. J. Math. 12 (2026), Paper No. 23.
  2. M.A. Pellegrini, 2-coverings for exceptional and sporadic simple groups, Arch. Math. 101 (2013), 201--206.
  3. M.A. Pellegrini, P. Shumyatsky, Coprime commutators in PSL(2,q), Arch. Math. 99 (2012), 501--507.

  Combinatorics and Graph Theory


  Heffter arrays, magic rectangles and related problems:

  1. F. Morini, M.A. Pellegrini, An update on the existence of integer Heffter arrays, Preprint (2025).
  2. F. Morini, M.A. Pellegrini, Signed magic arrays: existence and constructions, to apper in Discrete Math. (2026).
  3. M.A. Pellegrini, T. Traetta, Towards a solution of Archdeacon's conjecture on integer Heffter arrays, J. Combin. Des. 33 (2025), 310--323.
  4. F. Morini, M.A. Pellegrini, S. Sora, On a conjecture by Sylwia Cichacz and Tomasz Hinc, and a related problem, Discrete Appl. Math. 367 (2025), 53--67.
  5. F. Morini, M.A. Pellegrini, Magic partially filled arrays on abelian groups, J. Combin. Des. 31 (2023), 347--367.
  6. F. Morini, M.A. Pellegrini, Rectangular Heffter arrays: a reduction theorem, Discrete Math. 345 (2022), 113073, 17 pages.
  7. F. Morini, M.A. Pellegrini, Magic rectangles, signed magic arrays and integer λ-fold relative Heffter arrays, Australas. J. Combin. 80 (2021), 249--280.
  8. S. Costa, M.A. Pellegrini, Some new results about a conjecture by Brian Alspach, Arch. Math. 115 (2020), 479--488.
  9. S. Costa, A. Pasotti, M.A. Pellegrini, Relative Heffter arrays and biembeddings, Ars Math. Contemp. 18 (2020), 241--271.
  10. F. Morini, M.A. Pellegrini, On the existence of integer relative Heffter arrays, Discrete Math. 343 (2020), 112088, 22 pages.
  11. S. Costa, F. Morini, A. Pasotti, M.A. Pellegrini, A generalization of Heffter arrays, J. Combin. Des. 28 (2020), 171--206.
  12. S. Costa, F. Morini, A. Pasotti, M.A. Pellegrini, Globally simple Heffter arrays and othogonal cyclic cycle decompositions, Australas. J. Combin. 72 (2018), 549--593.
  13. S. Costa, F. Morini, A. Pasotti, M.A. Pellegrini, A problem on partial sums in abelian groups, Discrete Math. 341 (2018), 705--712.

  Buratti-Horak-Rosa Conjecture and related problems:

  1. M. Meszka, A. Pasotti, M.A. Pellegrini, The seating couple problem in even case, Discrete Math. 347 (2024), 114182, 13 pages.
  2. M.A. Ollis, A. Pasotti, M.A. Pellegrini, J.R. Schmitt, Growable realizations: a powerful approach to the Buratti-Horak-Rosa conjecture, Ars Math. Contemp. 22 (2022), #P4.04.
  3. M.A. Ollis, A. Pasotti, M.A. Pellegrini, J.R. Schmitt, New methods to attack the Buratti-Horak-Rosa conjecture, Discrete Math. 344 (2021), 112486, 20 pages.
  4. A. Pasotti, M.A. Pellegrini, A Generalization of the Problem of Mariusz Meszka, Graphs Combin. 32 (2016), 333--350.
  5. A. Pasotti, M.A. Pellegrini, On the Buratti-Horak-Rosa Conjecture about Hamiltonian Paths in Complete Graphs, Electron. J. Combin. 21 (2014), #P2.30.
  6. A. Pasotti, M.A. Pellegrini, A new result on the problem of Buratti, Horak and Rosa, Discrete Math. 319 (2014), 1--14.

  Cyclic cycle systems:

  1. A. Pasotti, M.A. Pellegrini, Cyclic uniform 2-factorizations of the complete multipartite graph, Graphs Combin. 34 (2018), 901--930.
  2. F. Merola, A. Pasotti, M.A. Pellegrini, Cyclic hamiltonian cycle systems of the complete multipartite graph: even number of parts, Ars Math. Contemp. 12 (2017), 219--233.
  3. A. Pasotti, M.A. Pellegrini, Symmetric 1-factorizations of the complete graph, European J. Combin. 31, no. 5, (2010), 1410--1418.

  Other works:

  1. A. Zazio, A. Pasotti, M.A. Pellegrini, C. Miniussi, M. Bortoletto, Inter-area communication within the motor network: Prestimulus functional connectivity predicts TMS-evoked responses, Clinical Neurophysiology 131 (2020), Pages e72--e73.