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

Institutions

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

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On locally primitive bicirculants

Jin‐Xin Zhou, Wei Jin
Journal of the London Mathematical Society
Finite Group Theory Research
article

On locally primitive bicirculants

Jin‐Xin Zhou, Wei Jin
article en

Abstract

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.

Journal of the London Mathematical SocietyVol. 113(5)
Beijing Jiaotong University (CN), Xiangtan University (CN), Jiangxi University of Finance and Economics (CN)
National Natural Science Foundation of China
Reduced inequalities
Openalex Percentile: Top 3%
Finite Group Theory Research
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.