Papers

The base size of vertex-transitive cubic graphs

with Marco Barbieri and Pablo Spiga

arxiv (2026, 37pp)

Diameter bounds for arbitrary finite groups and applications

with Sean Eberhard, Elena Maini and Gareth Tracey

arxiv (2026, 35pp)

Expanding groups with large diameter

with Sean Eberhard

arxiv (2026, 8pp)

On the maximal subgroups of almost simple and primitive perfect groups

with Patricia Medina Capilla

arxiv (2026, 14pp)

Groups that produce expander graphs

arxiv (2025, 11pp)

Exponent and number of generators in a finite group

arxiv (2025, 3pp)

14. Sylow subgroups for distinct primes and intersection of nilpotent subgroups

with Francesca Lisi

Journal of Algebra 693 (2026)

arxiv | journal (14pp)

13. On stabilizers in finite permutation groups

Bulletin of the London Mathematical Society 58 (1) (2026)

arxiv | journal (15pp)

12. Quasirandom and quasisimple groups

with Marco Barbieri

Discrete Analysis 2025:21

arxiv | journal (24pp)

11. Probabilistic construction of some extremal p-groups

with Sean Eberhard

Journal of Algebra 682 (2025)

arxiv | journal (18pp)

10. The diameter of random Schreier graphs

with Daniele Dona

European Journal of Combinatorics 127, art. 104164 (2025)

arxiv | journal (8pp)

9. Fixing two points in primitive solvable groups

with Francesca Lisi

Communications in Algebra 53 (10) (2025)

arxiv | journal (6pp)

8. On finite d-maximal groups

with Andrea Lucchini and Mima Stanojkovski

Bulletin of the London Mathematical Society 56 (3) (2024)

arxiv | journal (17pp)

7. Products of subgroups, subnormality, and relative orders of elements

Ars Mathematica Contemporanea 24 (1) (2024)

arxiv | journal (9pp)

6. On groups with large verbal quotients

with Francesca Lisi

Journal of Group Theory 27 (6) (2024)

arxiv | journal (15pp)

5. The growth of abelian sections

Annali di Matematica Pura ed Applicata 202 (3) (2023)

arxiv | journal (20pp)

4. Nilpotent subgroups of class 2 in finite groups

Proceedings of the American Mathematical Society 150 (8) (2022)

arxiv | journal (4pp)

3. Random Schreier graphs and expanders

Journal of Algebraic Combinatorics 56 (3) (2022)

arxiv | journal (13pp)

2. Abelian sections of the symmetric groups with respect to their index

Archiv der Mathematik 118 (1) (2022)

arxiv | journal (10pp)

On finite groups with polynomial diameter

arxiv (2021, 4pp)

1. A subexponential bound on the cardinality of abelian quotients in finite transitive groups

with Andrea Lucchini and Pablo Spiga

Bulletin of the London Mathematical Society 53 (6) (2021)

arxix | journal (6pp)

All my preprints are available on arxiv or scholar .

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