Pubblicazioni

Pubblicazioni (articoli su rivista)

1. M. Garonzi; Finite Groups that are the union of at most 25 proper subgroups, Journal of Algebra and Its Applications Vol. 12, No. 4 (2013) 1350002. DOI 10.1142/S0219498810003872

2. M. Garonzi, A. Lucchini; Direct products of finite groups as unions of proper subgroups. Arch. Math. (Basel) 95 (2010), no. 3, 201–206. DOI 10.1007/s00013-010-0155-8

3. M. Garonzi, A. Maróti; Covering certain wreath products with proper subgroups. J. Group Theory 14 (2011), no. 1, 103–125. DOI 10.1515/jgt.2010.035

4. M. Garonzi; Covering certain monolithic groups with proper subgroups. Communications in Algebra, 41:2, 471–491. DOI 10.1080/00927872.2011.622325

5. M. Garonzi, D. Levy; Factorizing a Finite Group into Conjugates of a Subgroup, J. Algebra 418 (2014), 129–141. DOI 10.1016/j.jalgebra.2014.07.012

6. M. Garonzi, A. Lucchini; Covers and normal covers of finite groups. J. Algebra 422 (2015), 148–165. DOI 10.1016/j.jalgebra.2014.08.046

7. Garonzi, Martino; Mar´oti, Attila; On the number of conjugacy classes of a permutation group. J. Combin. Theory Ser. A 133 (2015), 251–260. DOI 10.1016/j.jcta.2015.02.007

8. M. Garonzi, A. Lucchini, Irredundant and minimal covers of finite groups. Comm. Algebra 44 (2016), no. 4, 1722–1727. DOI 10.1080/00927872.2015.1027383

9. M. Garonzi, Dan Levy, Attila Maróti, Iulian I. Simion; Minimal length factorizations of finite simple groups of Lie type by unipotent Sylow subgroups. J. Group Theory 19 (2016), no. 2, 337–346. DOI 10.1515/jgth-2015-0051

10. M. Garonzi, Dan Levy, Attila Maróti, Iulian I. Simion; Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent. Journal of Algebra and Its Applications Vol. 16, No. 1 (2017) 1750043 (19 pages) World Scientific Publishing Company. DOI 10.1142/S0219498817500438

11. M. Garonzi, J. Cannon, D. Levy, A. Maróti, I. I. Simion; Groups equal to a product of three conjugate subgroups. Israel Journal of Mathematics, v. 215, p. 31–52, 2016. DOI 10.1007/s11856-016-1359-9

12. M. Garonzi, M. Patassini; Inequalities detecting structural properties of a finite group; Communications in Algebra, v. 45, p. 677–687, 2016. DOI 10.1080/00927872.2016.1172621

13. M. Garonzi, Dan Levy, Attila Maróti, Iulian I. Simion; Primitive Permutation Groups as Products of Point Stabilizers. Journal of Algebra (Print), v. 471, p. 399–408, 2017. DOI 10.1016/j.jalgebra.2016.09.025

14. M. Garonzi, A. C. Dantas, R. Bastos; Finite Groups with six or seven automorphism orbits. J. Group Theory 20 (2017), no. 5, 945-954. DOI 10.1515/jgth-2017-0001

15. Garonzi, M., Lima, I., On the Number of Cyclic Subgroups of a Finite Group; Bull. Braz. Math. Soc. (N.S.) 49 (2018), no. 3, 515-530. DOI 10.1007/s00574-018-0068-x

16. Garonzi, M., Lucena Dias, M., Group Partitions of Minimal Size; Journal of Algebra 531 (2019), 1-18. DOI 10.1016/j.jalgebra.2019.04.017

17. Garonzi, M., Lucchini, A., Maximal irredundant families of minimal size in the alternating group. Arch. Math. (Basel) 113 (2019), no. 2, 119–126. DOI 10.1007/s00013-019-01331-8

18. Garonzi, M., Kappe, L.-C., Swartz, E., On Integers that are Covering Numbers of Groups. Experimental Mathematics (2019). DOI 10.1080/10586458.2019.1636425

19. Garonzi, M., Maróti, A. Alternating groups as products of four conjugacy classes. Arch. Math. 116, 121–130 (2021). DOI 10.1007/s00013-020-01531-7

20. Burness, Timothy C. ; Garonzi, M.; Lucchini, A. On the minimal dimension of a finite simple group. Journal of Combinatorial Theory Series A, Volume 171, 2020, 105175, ISSN 0097-3165. DOI 10.1016/j.jcta.2019.105175

21. Bonvicini, S. ; Buratti, M. ; Garonzi, M. ; Rinaldi, G. ; Traetta, T. The first families of highly symmetric Kirkman Triple Systems whose orders fill a congruence class. Designs, Codes and Cryptography 89, 2725–2757 (2021). DOI 10.1007/s10623-021-00952-x

22. Fumagalli, F.; Garonzi, M. On the primary coverings of finite solvable and symmetric groups, Journal of Group Theory, vol. 24, no. 6, 2021, pp. 1189–1211. DOI doi.org/10.1515/jgth-2020-0056

23. Fumagalli, Francesco; Garonzi, Martino; Maróti, Attila. On the maximal number of elements pairwise generating the symmetric group of even degree. Discrete Mathematics, Volume 345, Issue 4, 2022, 112776, ISSN 0012-365X, DOI 10.1016/j.disc.2021.112776

24. Burness, Timothy C.; Garonzi, Martino; Lucchini, Andrea. Finite groups, minimal bases and the intersection number. Transactions of the London Mathematical Society, v. 9, p. 20–55, 2022. DOI 10.1112/tlm3.12040

25. Gao, Xiaofang ; Garonzi, Martino. The structure of 3-pyramidal groups. Journal of Algebra, Volume 636, 2023, Pages 75–87, ISSN 0021-8693, DOI 10.1016/j.jalgebra.2023.08.013

26. Almeida, Júlia ; Garonzi, Martino. On minimal coverings and pairwise generation of some primitive groups of wreath product type. Journal of Algebra and its Applications, 2023. DOI 10.1142/S0219498824501883

27. Fumagalli, Francesco; Garonzi, Martino; Gheri, Pietro. On the maximal number of elements pairwise generating the finite alternating group. Journal of Combinatorial Theory, Series A, Volume 205, 2024, 105870, ISSN 0097-3165. DOI 10.1016/j.jcta.2024.105870

28. Garonzi, M., Halasi, Z., Somlai, G. On the diameter of Cayley graphs of classical groups with generating sets containing a transvection. Isr. J. Math. (2024). DOI 10.1007/s11856-024-2605-1

29. Garonzi, M. and Marion, C. (2024), On finite groups with the Magnus Property. Bull. London Math. Soc. DOI 10.1112/blms.13119

30. Gao X., Garonzi M. On pyramidal groups of prime power degree, Journal of Pure and Applied Algebra, 2025, 107868, ISSN 0022-4049. DOI 10.1016/j.jpaa.2025.107868

31. Gao, X., Garonzi, M. Bounds in terms of the number of cyclic subgroups. Vietnam Journal of Mathematics, 2025. DOI 10.1007/s10013-025-00744-z

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Articoli di tipo Survey

1. M. Garonzi; Covering monolithic groups with proper subgroups, Int. J. Group Theory Vol. 2 No. 1 (2013) 131–144. Per il Proceedings della conferenza Ischia Group Theory 2012. Articolo Survey. http://ijgt.ui.ac.ir/?_action=showPDF&article=2674

2. M. Garonzi; Conjugate factorizations of finite groups. Int. J. Group Theory 4 (2015), no. 2, 69–78. Articolo Survey per il Proceedings della conferenza Ischia Group Theory 2014. http://ijgt.ui.ac.ir/article_9931.html

3. Garonzi, Martino. The maximal subgroups of the symmetric group. Ensaios Matemáticos, 2021, Volume 36, 1–51. Articolo Survey. DOI 10.21711/217504322021/em361