Research areas
The main focus of my research is on the properties of graphs that encode certain binary relations between elements or subgroups of groups. I have also recently undertaken research related to permutation group statistics (namely, base size and relational complexity), and related to elements and maximal subgroups of non-abelian finite simple groups.
Previously, I explored the representation theory of finite exceptional groups of Lie type and their associated algebraic groups, in order to construct closely related p-groups.
Selected publications
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Open access
Tournaments and even graphs are equinumerous
Royle, G. F., Praeger, C. E., Glasby, S. P., Freedman, S. D. & Devillers, A., 29 Dec 2022, (E-pub ahead of print) In: Journal of Algebraic Combinatorics. 10 p.Research output: Contribution to journal › Article › peer-review
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Open access
The intersection graph of a finite simple group has diameter at most 5
Freedman, S. D., Jul 2021, In: Archiv der Mathematik. 117, 1, p. 1-7 7 p.Research output: Contribution to journal › Article › peer-review
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Open access
The non-commuting, non-generating graph of a nilpotent group
Cameron, P. J., Freedman, S. D. & Roney-Dougal, C. M., 29 Jan 2021, In: Electronic Journal of Combinatorics. 28, 1, 15 p., P1.16.Research output: Contribution to journal › Article › peer-review