On locally primitive bicirculants
Abstract Finite arc‐transitive bicirculants with valency 3,4, or 5 have been classified in several previous papers. In 2022, Devillers, Giudici, and Jin gave a reductive characterization of finite arc‐transitive bicirculants, and using this, in 2023 Jin obtained a classification of finite 2‐arc‐transitive bicirculants. In this paper, we give a complete classification of finite vertex‐transitive and locally primitive bicirculants.
Authors
- Jin‐Xin Zhou (ORCID: https://orcid.org/0000-0002-8353-896X)
- Wei Jin
Institutions
- Beijing Jiaotong University (CN)
- Xiangtan University (CN)
- Jiangxi University of Finance and Economics (CN)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2026-05-01
- DOI
- https://doi.org/10.1112/jlms.70563
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China