Base Sizes of Permutation Groups
Title
Base Sizes of Permutation Groups
Subject
Mathematics
Creator
Eleanor Milburn
Date
2025
Abstract
Under the supervision of Dr Gareth Tracey, I have completed an undergraduate research project studying base sizes of permutation groups. I am interested in computational and character-theoretic techniques used to obtain these base sizes. I have computed several base sizes for almost simple sporadic groups and their subgroups, extending results in the literature. I am also interested in applications of combinatorial techniques to general results about base sizes. I have explored an application of Hall’s Marriage Theorem to take steps towards a new proof of an existing result.
Files
Collection
Citation
Eleanor Milburn, “Base Sizes of Permutation Groups,” URSS SHOWCASE, accessed November 3, 2025, https://linen-dog.lnx.warwick.ac.uk/items/show/815.