Attila Maróti's publications and preprints



65. On the Gowers trick for classical simple groups.

With Francesco Fumagalli

Submitted for publication.



64. Growth of products of subsets in finite simple groups.

With Daniele Dona and László Pyber

Submitted for publication.



63. On almost p-rational characters in principal blocks.

With J. Miquel Martínez, A. A. Schaeffer Fry and Carolina Vallejo

Submitted for publication.



62. Covering the set of p-elements in finite groups.

With Juan Martínez and Alexander Moretó

Submitted for publication.



61. On the orders of composition factors in completely reducible groups.

With Saveliy V. Skresanov

Journal of Algebra Vol. 645 (2024), 183-196.



60. Covering the set of p-elements in finite groups by Sylow p-subgroups.

With Juan Martínez and Alexander Moretó

Journal of Algebra Vol. 638 (2024), 840-861.



59. Minimal degree, base size, order: selected topics on primitive permutation groups.

Archiv der Mathematik Vol. 121 (2023), no. 5-6, 485-493.



58. Conjugacy classes of pi-elements and nilpotent/abelian Hall pi-subgroups.

With Nguyen N. Hung, Juan Martínez

Pacific Journal of Mathematics Vol. 323 (2023), No. 1, 185-204.



57. Bounds for the diameters of orbital graphs of affine groups.

With Saveliy V. Skresanov

Vietnam Journal of Mathematics (2023), 51: 617-631.



56. On partial augmentations of elements in integral group rings.

With Victor Bovdi

Journal of Algebra and its Applications Vol. 22 (2023), No. 8, 2350172.



55. On almost p-rational characters of p'-degree.

With Nguyen Ngoc Hung, Gunter Malle

Forum Mathematicum Vol. 34 (2022), no. 6, 1475-1496.



54. p-Regular conjugacy classes and p-rational irreducible characters.

With Nguyen Ngoc Hung

Journal of Algebra Vol. 607 (2022) Part A, 387-425.



53. On the maximal number of elements pairwise generating the symmetric group of even degree.

With Francesco Fumagalli, Martino Garonzi

Discrete Mathematics Vol. 345 (2022) no. 4, 112776.



52. A generalization of the diameter bound of Liebeck and Shalev for finite simple groups.

With László Pyber

Acta Mathematica Hungarica Vol. 164 (2021), 350-359.



51. Alternating groups as products of four conjugacy classes.

With Martino Garonzi

Archiv der Mathematik (Basel) Vol. 116 (2021), no. 2, 121-130.



50. Bounding the number of classes of a finite group in terms of a prime.

With Iulian I. Simion

Journal of Group Theory Vol. 23 (2020), no. 3, 471-488.



49. Finite simple groups with short Galois orbits on conjugacy classes.

With Victor Bovdi, Thomas Breuer

Journal of Algebra Vol. 544 (2020), 151-169.



48. Irreducible induction and nilpotent subgroups in finite groups.

With Zoltán Halasi, Gabriel Navarro, Pham Huu Tiep

Journal of Algebra Vol. 561 (2020), 200-214.



47. An improved diameter bound for finite simple groups of Lie type.

With Zoltán Halasi, László Pyber, Youming Qiao

Bulletin of the London Mathematical Society Vol. 51 (2019), no. 4, 645-657.



46. Base sizes of primitive groups: bounds with explicit constants.

With Zoltán Halasi, Martin W. Liebeck

Journal of Algebra Vol. 521 (2019), 16-43.



45. Finite groups with large Noether number are almost cyclic.

With Pál Hegedűs, László Pyber

Annales de L'Institute Fourier, Grenoble, Vol. 69, 4 (2019), 1739-1756.



44. Set-direct factorizations of groups.

With Dan Levy

Journal of Algebra Vol. 516 (2018), 414-436.



43. A proof of Pyber's base size conjecture.

With Hülya Duyan, Zoltán Halasi

Advances in Mathematics Vol. 331 (2018), 720-747.



42. On the generating graph of a simple group.

With Andrea Lucchini, Colva M. Roney-Dougal

Journal of the Australian Mathematical Society Vol. 103 (2017), no. 1, 91-103.



41. Normalizers of primitive permutation groups.

With Robert M. Guralnick, László Pyber

Advances in Mathematics Vol. 310 (2017), 1017-1063.



40. Finite groups have more conjugacy classes.

With Barbara Baumeister, Hung P. Tong-Viet

Forum Mathematicum Vol. 29 No. 2 (2017), 259-275.



39. Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent.

With Martino Garonzi, Dan Levy, Iulian I. Simion

Journal of Algebra and its Applications Vol. 16 No. 1 (2017), 1750043 (19 pages).



38. Primitive permutation groups as products of point stabilizers.

With Martino Garonzi, Dan Levy, Iulian I. Simion

Journal of Algebra Vol. 471 (2017), 399-408.



37. On the number of p'-degree characters in a finite group.

With Gunter Malle

International Mathematics Research Notices Vol. 2016 No. 20 (2016), 6118-6132.



36. Groups equal to a product of three conjugate subgroups.

With John Cannon, Martino Garonzi, Dan Levy, Iulian I. Simion

Israel Journal of Mathematics Vol. 215 No. 1 (2016), 31-52.



35. The minimal base size of a p-solvable linear group.

With Zoltán Halasi

Proceedings of the American Mathematical Society, Ser A. Vol. 144 (2016), 3231-3242.



34. Minimal length factorizations of finite simple groups of Lie type by unipotent Sylow subgroups.

With Martino Garonzi, Dan Levy, Iulian I. Simion

Journal of Group Theory Vol. 19 No. 2 (2016), 337-346.



33. A lower bound for the number of conjugacy classes of a finite group.

Advances in Mathematics Vol. 290 (2016), 1062-1078.



32. Character degree sums of finite groups.

With Hung Ngoc Nguyen

Forum Mathematicum Vol. 27 No. 4 (2015), 2453-2465.



31. On the number of conjugacy classes of a permutation group.

With Martino Garonzi

Journal of Combinatorial Theory Ser. A. Vol. 133 (2015), 251-260.



30. On a conjecture of Gluck.

With James P. Cossey, Zoltán Halasi, Hung Ngoc Nguyen

Mathematische Zeitschrift Vol. 279 No. 3 (2015), 1067-1080.



29. On the number of conjugacy classes of π-elements in finite groups.

With Hung Ngoc Nguyen

Archiv der Mathematik Vol. 102 No. 2 (2014), 101-108.



28. Normal coverings of linear groups.

With John R. Britnell

Algebra & Number Theory Vol. 7-9 (2013), 2085-2102.



27. Perfect numbers and finite groups.

With Tom De Medts

Rendiconti del Seminario Matematico della Università di Padova Vol. 129 (2013), 17-33.



26. On the non-coprime k(GV)-problem.

With Robert M. Guralnick

Journal of Algebra Vol. 385 (2013), 80-101.



25. A solution to a problem of Wiegold.

With M. Chiara Tamburini

Communications in Algebra, Vol. 41, No. 1 (2013), 34-49.



24. Character expansiveness in finite groups.

With Zoltán Halasi and Franciska Petényi

International Journal of Group Theory, Vol 2, No. 2 (2013), 9-17.



23. Conjugacy expansiveness in finite groups.

With Zoltán Halasi, Said Sidki, Marcelo Bezerra

Journal of Group Theory, 15 (2012), 485-496.



22. Rings as the unions of proper subrings.

With Andrea Lucchini

Algebras and Representation Theory Vol. 15 No. 6 (2012), 1035-1047.



21. Lifting (2,k)-generators of linear groups.

With M. Chiara Tamburini

Ischia group theory 2010. Proceedings of the conference in group theory. (2011). 273-277.



20. Bounds for the probability of generating the symmetric and alternating groups.

With M. Chiara Tamburini

Archiv der Mathematik Vol. 96 (2011), 115-121.



19. Average dimension of fixed point spaces with applications.

With Robert M. Guralnick

Advances in Mathematics Vol. 226 (2011), 298-308.



18. Groups with few conjugacy classes.

With László Héthelyi, Erzsébet Horváth, and Thomas M. Keller

Proceedings of the Edinburgh Mathematical Society (2011) Vol. 54, 1-8.



17. Covering certain wreath products with proper subgroups.

With Martino Garonzi

Journal of Group Theory (2011) Vol. 14 Issue 1, 103-125.



16. Hamiltonian cycles in the generating graphs of finite groups.

With Thomas Breuer, Robert M. Guralnick, Andrea Lucchini, and Gábor P. Nagy

Bulletin of the London Mathematical Society Vol. 42 Part 4 (2010) 621-633.



15. Pairwise generating and covering sporadic simple groups.

With Petra E. Holmes

Journal of Algebra (Section on Computational Algebra) Vol. 324 Issue 1 (2010) 25-35.



14. Ring elements as sums of units.

With Charles Lanski

Central European Journal of Mathematics. Vol. 7. Number 3. (2009) 395--399.



13. On finite simple groups and Kneser graphs.

With Andrea Lucchini

Journal of Algebraic Combinatorics. Vol. 30. Number 4. (2009) 549-566.



12. On the clique number of the generating graph of a finite group.

With Andrea Lucchini

Proceedings of the American Mathematical Society. Vol. 137 (2009) 3207--3217.



11. Some results and questions related to the generating graph of a finite group.

With Andrea Lucchini

Ischia group theory 2008. Proceedings of the conference in group theory. (2009). 183-208.



10. d-wise generation of some infinite groups.

With Andrea Lucchini and Darren Semmen

Journal of Algebra and Its Applications. Vol. 7. Issue 6. (2008). 717-723.



9. On groups with all normal subgroups transitive or semiregular.

With Áron Bereczky.

Journal of Algebra 319, (2008), no. 4, 1733–1751.



8. Sets of elements that pairwise generate a linear group.

With John R. Britnell, Anton Evseev, Robert M. Guralnick, Petra E. Holmes

Journal of Combinatorial Theory Ser. A. 115 (2008), no. 3, 442–465.



7. Symmetric functions, generalized blocks, and permutations with restricted cycle structure.

European Journal of Combinatorics 28 (2007), no. 3, 942–963.



6. A proof of a generalized Nakayama conjecture.

Bulletin of the London Mathematical Society 35 (2006), no. 5, 777–785.



5. On generalized blocks for alternating groups.

Journal of Algebra 297 (2006), no. 2, 400–408.



4. Bounding the number of conjugacy classes of a permutation group.

Journal of Group Theory 8 (2005), no. 3, 273–289.



3. Covering the symmetric groups with proper subgroups.

Journal of Combinatorial Theory Ser. A 110 (2005), no. 1, 97–111.



2. On elementary lower bounds for the partition function .

Integers (Electronic Journal of Combinatorial Number Theory) 3 (2003), 9 p., electronic only.



1. On the orders of primitive groups.

Journal of Algebra 258 (2002), no. 2, 631–640.



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