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Gill, Nick and Spiga, Pablo
(2020).
DOI: https://doi.org/10.1353/ajm.2020.0000
Abstract
We introduce a new approach to the study of finite binary permutation groups and, as an application of our method, we prove Cherlin's binary groups conjecture for groups with socle a finite alternating group, and for the -primitive actions of the finite classical groups.
Our new approach involves the notion, defined with respect to a group action, of a `'. We demonstrate how the presence of such subsets can be used to show that a given action is not binary. In particular, the study of such sets will lead to a resolution of many of the remaining open cases of Cherlin's binary groups conjecture.
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About
- Item ORO ID
- 79560
- Item Type
- Journal Item
- ISSN
- 1080-6377
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2020 by Johns Hopkins University Press
- Depositing User
- Nick Gill