### Contato

Campus Universitário Darcy Ribeiro
Departamento de Matemática
Brasília - DF
70910-900, Brasil
mgaronzi at gmail dot com

# Martino Garonzi

## Research

I work in Algebra, Group Theory. My currículo lattes. My PhD Thesis.

I mainly work in the field of finite group theory, more specifically:

1. Union coverings. Study of the minimal number of A-orbits of subgroups of a finite group G whose union is G, where A is a subgroup of Aut(G).

2. Factorization with conjugate subgroups. Study of the minimal number of conjugate subgroups (with a given property P) of G whose product is G.

3. Inequalities detecting structural properties of finite groups.

4. Permutation groups, primitive groups.

5. Number of conjugacy classes of a finite group.

6. Number of automorphism orbits of a finite group.

7. Representation theory.

8. Generation of groups.

My publications:

1. M. GARONZI, I. LIMA; On the Number of Cyclic Subgroups of a Finite Group. Bulletin of the Brazilian Mathematical Society, v. 1, p. 1, 2018.

2. GARONZI, MARTINO; LEVY, DAN ; MARÓTI, ATTILA ; SIMION, IULIAN I. . Primitive permutation groups as products of point stabilizers. Journal of Algebra (Print), v. 471, p. 399-408, 2017.

3. DANTAS, ALEX CARRAZEDO ; GARONZI, MARTINO ; BASTOS, RAIMUNDO . Finite groups with six or seven automorphism orbits. Journal of Group Theory, v. 1, p. 1, 2017.

4. LUCCHINI, ANDREA ; GARONZI, MARTINO . Irredundant and Minimal Covers of Finite Groups. Communications in Algebra, v. 44, p. 1722-1727, 2016.

5. GARONZI, MARTINO; LEVY, DAN ; MARÓTI, ATTILA ; SIMION, IULIAN I. . FACTORIZATIONS OF FINITE GROUPS BY CONJUGATE SUBGROUPS WHICH ARE SOLVABLE OR NILPOTENT. Journal of Algebra and its Applications, v. 16, p. S0219498817500438, 2016.

6. CANNON, JOHN ; GARONZI, MARTINO ; LEVY, DAN ; MARÓTI, ATTILA ; SIMION, IULIAN I. . Groups equal to a product of three conjugate subgroups. Israel Journal of Mathematics, v. 215, p. 31-52, 2016.

7. GARONZI, MARTINO; PATASSINI, MASSIMILIANO . Inequalities detecting structural properties of a finite group. Communications in Algebra, v. 45, p. 677-687, 2016.

8. GARONZI, MARTINO; LEVY, DAN ; MARÓTI, ATTILA ; SIMION, IULIAN I. . Minimal length factorizations of finite simple groups of Lie type by unipotent Sylow subgroups. Journal of Group Theory, v. 19, p. 337-346, 2016.

9. GARONZI, MARTINO; LUCCHINI, ANDREA . Covers and normal covers of finite groups. Journal of Algebra (Print), v. 422, p. 148-165, 2015.

10. GARONZI, MARTINO; MARÓTI, ATTILA . On the number of conjugacy classes of a permutation group. Journal of Combinatorial Theory. Series A (Print), v. 133, p. 251-260, 2015.

11. GARONZI, MARTINO; LEVY, DAN . Factorizing a finite group into conjugates of a subgroup. Journal of Algebra (Print), v. 418, p. 129-141, 2014.

12. GARONZI, MARTINO. FINITE GROUPS THAT ARE THE UNION OF AT MOST 25 PROPER SUBGROUPS. Journal of Algebra and its Applications, v. 12, p. 1350002, 2013.

13. GARONZI, MARTINO. Covering Certain Monolithic Groups with Proper Subgroups. Communications in Algebra, v. 41, p. 471-491, 2013.

14. GARONZI, MARTINO. Covering certain wreath products with proper subgroups. Journal of Group Theory, v. 14, p. 103-125, 2011.

15. GARONZI, MARTINO; LUCCHINI, ANDREA . Direct products of finite groups as unions of proper subgroups. Archiv der Mathematik (Printed ed.), v. 95, p. 201-206, 2010.