Some generalizations of Camina pairs and orders of elements in cosets (with Thu T. H. Quan), submitted
Orders of commutators and products of conjugacy classes in finite groups, submitted
Finite groups whose maximal subgroups have almost odd index (with C. A. Schroeder), submitted
On common zeros of characters of finite groups, Algebras and Representation theory, 28 (2025), 395 - 406 (with M. L. Lewis, L. Morotti, E. Pacifici and L. Sanus)
A characterization of some finite simple groups by their character codegrees, Mathematische Nachrichten, 298 (2025), 1356 - 1369
Variations on the Thompson theorem, Journal of Algebra, 668 (2025), 46 - 74
Weakly subnormal subgroups and variations of the Baer-Suzuki theorem, Journal of the London Mathematical Society, 111 (2025), no. 1, e70057 (with R. M. Guralnick and G. Tracey)
Huppert's conjecture for finite simple exceptional groups of Lie type, Journal of Algebra, 665 (2025), 48 - 71
On the maximal overgroups of Sylow subgroups of finite groups, Advances in Mathematics 444 (2024), 109632 (with B. Baumeister, T. C. Burness and R. M. Guralnick)
Extremely closed subgroups and a variant on Glauberman Z* - theorem, Pacific Journal of Mathematics, 329 (2024), no. 2, 303 - 325
Group elements whose character values are roots of unity, Vietnam Journal of Mathematics 52 (2024), 379 - 388 (Special Issues: Group theory and Representation theory - Pham Huu Tiep 60th birthday), (with M. L. Lewis and L. Morotti)
Odd degree rational irreducible characters, Acta Mathmatica Vietnamica 47 (2022), no. 1, 293 - 304 (with P. H. Tiep) (Special Issue: Algebra, Geometry and Related Topics - Nguyen Tu Cuong 70th birthday)
Finite groups whose real-valued irreducible characters have prime power degrees, Journal of Algebra 597 (2022), 190 - 204 (with Z. Costanzo)
Proportions of vanishing elements in finite groups, Israel Journal of Mathematics 246 (2021), no. 1, 441 – 457 (with L. Morotti)
Real Brauer characters, Journal of Pure and Applied Algebra 225 (2021), Issue 12, no. 106769, 11p
Upper and lower bounds of table sums, Algebra Colloquium 28 (2021), No. 4, 555-560 (with X. Chen, M. L. Lewis)
Conjugacy classes of p-elements and normal p-complements, Pacific Journal of Mathematics 308 (2020), no. 1, 207-222.
Orders of real elements in finite groups, Journal of Algebra 561 (2020), 421-432 (Special issue in memory of Kay Magaard)
Some conjectures on Brauer character degrees, Journal of Algebra 550 (2020), 210-218
On the number of irreducible real-valued characters of a finite group, Journal of Algebra 555 (2020), 275-288 (with N. N. Hung, A. Schaeffer Fry, R. Vinroot)
2-Parts of real class sizes, Algebra Number Theory 12 (2018), no. 10, 2499 - 2514
Real class sizes, Israel Journal of Mathematics 228 (2018), no. 2, 753 - 769
Brauer characters and normal Sylow p-subgroup, Journal of Algebra 503 (2018), 265 - 276
Finite groups with many values in a column of the character table, Journal of Algebra and its Applications 17 (2018), no. 10, 1850196, 20pp (with P. H. Tiep)
Groups satisfying the two-prime hypothesis with a composition factor isomorphic to PSL(2,q) for q>=7, Czechoslovak Mathematical Journal 68 (2018), 143, no. 4, 921 - 941 (with M. Lewis, Y. Liu)
Blocks of small defect in alternating groups and squares of Brauer character degrees, Journal of Group Theory 20 (2017), no. 6, 1155-1173 (with X. Chen, J. P. Cossey, M. L. Lewis)
The two-prime hypothesis: groups whose nonabelian composition factors are not isomorphic to PSL(2,q), Monatshefte für Mathematik 184 (2017), no. 1, 115-131 (with M. L. Lewis, Y. Liu)
Nonsolvable groups with no prime dividing four character degrees, Algebras and Representation Theory 20 (2017), no. 3, 547-567 (with M. Ghaffarzadeh, M. Ghasemi)
Finite groups have more conjugacy classes, Forum Mathematicum 29 (2017), no. 2, 259-275 (with B. Baumeister, A. Maroti)
Brauer character of q'-degree, Proceedings of the American Mathematical Society 145 (2017), no. 5, 1891-1898 (with M. L. Lewis) Corrigendum
Hupper's conjecture for alternating groups, Journal of Algebra 470 (2017), 353-378 (with C. Bessenrodt, J. Zhang)
Primitive permutation groups and derangements of prime power order, Manuscripta Mathematica 150 (2016), no. 1-2, 255-291 (with T. C. Burness)
p-Parts of character degrees, Journal of London Mathematical Society (2) 92 (2015), no. 2, 283-497 (with M. L. Lewis, G. Navarro, P. H. Tiep)
Derangements in primitive permutation groups, with an application to character theory, The Quaterly Journal of Mathematics 66 (2015), no. 1, 63-96 (with T. C. Burness)
Complex group algebras of the double covers of the symmetric and alternating groups, Algebra Number Theory 9 (2015), no. 3, 601-628 (with C. Bessenrodt, N. N. Hung, J. B. Olsson)
Finite groups with K4-free prime graphs, Algebras and Representation Theory 18 (2015), no. 1, 235-256 (with Z. Akhlaghi)
A dual version of Huppert's conjecture on conjugacy class sizes, Journal of Group Theory 18 (2015), no. 1, 115-131 (with Z. Akhlaghi, M. Khatami, T. Le)
Extending Huppert's conjecture from non-abelian simple groups to quasi-simple groups, Illinois Journal of Mathematics 59 (2015), no. 4, 901-924 (with N. N. Hung, P. R. Majozi, T. P. Wakefield)