Ricerca

L'area della mia ricerca è principalmente la teoria delle rappresentazioni e dei caratteri di gruppi finiti. 

Articoli su rivista 

1) Element orders and codegrees of characters in non-solvable groups (in collaborazione con Z. Akhlaghi, L. Sanus), J. Algebra 644 (2024), 428-441.

2) Non-solvable Groups whose Character Degree Graph has a Cut-Vertex. I (in collaborazione con S. Dolfi, L. Sanus, V. Sotomayor), Vietnam J. Math 51 (2023), 731-753.

3) Non-solvable Groups whose Character Degree Graph has a Cut-Vertex. II (in collaborazione con S. Dolfi, L. Sanus), Ann. Mat. Pura Appl. 202 (2023), 1753-1780.

4) Non-solvable Groups whose Character Degree Graph has a Cut-Vertex. III (in collaborazione con S. Dolfi), Ann. Mat. Pura Appl. 202 (2023), 2517-2540.

5) Conjugacy classes of maximal cyclic subgroups (in collaborazione con M. Bianchi, R.D. Camina, M.L. Lewis), J. Group Theory 26 (2023), 951-967.

6) Groups whose prime graph on class sizes has a cut vertex (in collaborazione con S. Dolfi, L. Sanus, V. Sotomayor), Israel J. Math. 244 (2021), 775-805.

7) On solvable groups with one vanishing class size (in collaborazione con M. Bianchi, R.D. Camina, M.L. Lewis), Proc. Royal Soc. Edinburgh 151 (2021), 1467-1486.

8) On Huppert’s rho-sigma conjecture (in collaborazione con Z. Akhlaghi, S. Dolfi), J. Algebra 586 (2021), 537–560.

9) On groups having a p-constant character (in collaborazione con S. Dolfi, L. Sanus), Proc. Amer. Math. Soc. 149 (2021), 107–120.

10) Groups with vanishing class size p (in collaborazione con M. Bianchi, M.L. Lewis), J. Group Theory 23 (2020), 79–83.

11) Bounding the number of vertices in the degree graph of a finite group (in collaborazione con Z. Akhlaghi, S. Dolfi, L. Sanus), J. Pure Appl. Algebra 224 (2020), 725–731.

12) The prime graph on class sizes of a finite group has a bipartite complement (in collaborazione con S. Dolfi, L. Sanus, V. Sotomayor), J. Algebra 542 (2020), 35–42.

13) On the character degree graph of finite groups (in collaborazione con Z. Akhlaghi, C. Casolo, S. Dolfi, L. Sanus), Ann. Mat. Pura Appl. 198 (2019), 1595–1614.

14) Groups whose degree graph has three independent vertices (in collaborazione con S. Dolfi, K. Khedri), J. Algebra 512 (2018), 66–80.

15) On the character degree graph of solvable groups (in collaborazione con Z. Akhlaghi, C. Casolo, S. Dolfi, K. Khedri), Proc. Amer. Math. Soc. 146 (2018), 1505–1513.

16) On vanishing class sizes in finite groups (in collaborazione con M. Bianchi, J. Brough, R.D. Camina), J. Algebra 489 (2017), 446–459.

17) Nonvanishing elements for Brauer characters (in collaborazione con S. Dolfi, L. Sanus), J. Aust. Math. Soc. 102 (2017), 96–107.

18) Groups whose character degree graph has diameter three (in collaborazione con C. Casolo, S. Dolfi, L. Sanus), Israel J. Math. 215 (2016), 523–558.

19) Conjugacy classes of finite groups and graph regularity (in collaborazione con M. Bianchi, R.D. Camina, M. Herzog), Forum Math. 27 (2015), 3167–3172.

20) Zeros of Brauer characters and linear actions of finite groups: Small primes (in collaborazione con S. Dolfi), J. Algebra 399 (2014), 343–357.

21) Incomplete vertices in the prime graph on conjugacy class sizes of finite groups (in collaborazione con C. Casolo, S. Dolfi, L. Sanus), J. Algebra 376 (2013), 46–57.

22) On the regularity of a graph related to conjugacy classes of groups (in collaborazione con M. Bianchi, M. Herzog, G. Saffirio), European J. Combin. 33 (2012), 1402–1407.

23) Groups whose prime graph on conjugacy class sizes has few complete vertices (in collaborazione con C. Casolo, S. Dolfi, L. Sanus), J. Algebra 364 (2012), 1–12.

24) Zeros of Brauer characters and linear actions of finite groups (in collaborazione con S. Dolfi), J. Algebra 340 (2011), 104–113.

25) On the vanishing prime graph of finite groups (in collaborazione con S. Dolfi, L. Sanus, P. Spiga), J. London Math. Soc. 82 (2010), 167–183.

26) Groups whose vanishing class sizes are not divisible by a given prime (in collaborazione con S. Dolfi, L. Sanus), Arch. Math. (Basel) 94 (2010), 311–317.

27) On the vanishing prime graph of solvable groups (in collaborazione con S. Dolfi, L. Sanus, P. Spiga), J. Group Theory 13 (2010), 189–206.

28) Finite groups with real conjugacy classes of prime size (in collaborazione con S. Dolfi, L. Sanus), Israel J. Math. 175 (2010), 179–189.

29) Non-vanishing elements of finite groups (in collaborazione con S. Dolfi, G. Navarro, L. Sanus, P.H. Tiep), J. Algebra 323 (2010), 540–545.

30) On the orders of zeros of irreducible characters (in collaborazione con S. Dolfi, L. Sanus, P. Spiga), J. Algebra 321 (2009), 345–352.

31) Finite groups with real-valued irreducible characters of prime degree (in collaborazione con S. Dolfi, L. Sanus), J. Algebra 320 (2008), 2181–2195.

32) Groups whose nonlinear irreducible characters separate element orders or conjugacy class sizes (in collaborazione con M. Bianchi, D. Chillag), Arch. Math. (Basel) 90 (2008), 1–13.

33) Character degree graphs that are complete graphs (in collaborazione con M. Bianchi, D. Chillag, M.L. Lewis), Proc. Amer. Math. Soc. 135 (2007), 671–676.

34) A note on finite groups with few values in a column of the character table (in collaborazione con M. Bianchi, D. Chillag), Rend. Sem. Mat. Univ. Padova 115 (2006), 161–164.

35) On the structure of induced modules and tensor induction for group representations, Rend. Sem. Mat. Univ. Padova 115 (2006), 71–84.

36) On tensor induction for representations of finite groups, J. Algebra 288 (2005), 287–320.

37) On the number of anisotropic simple submodules in modules with a form, Arch. Math. (Basel)
84 (2005), 1–10.

38) On tensor factorisation for representations of finite groups, Bull. Aust. Math. Soc. 69 (2004), 161–171.

Contributi in atti di convegno

1) On the arithmetical structure of the irreducible character degrees of a finite group, Mathematisches Forschungsinstitut Oberwolfach, Report No. 39/2022, Character Theory and Categorification. 

2)  On zeros of characters of finite groups (in collaborazione con S. Dolfi, L. Sanus), Group theory and computation, Indian Stat. Inst. Ser., Springer, Singapore (2018), 41–58.

3)  On the regularity of a graph related to conjugacy classes of groups: Small valencies (in collaborazione con M. Bianchi, M. Herzog) in Group Theory, Combinatorics, and Computing, Contemporary Math. 611 (2014), 1–7.