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In this paper, we characterise the family of finite arc-transitive bicirculants. We show that every finite arc-transitive bicirculant is a normal (Formula presented.) -cover of an arc-transitive graph that lies in one of eight infinite families or is one of seven sporadic arc-transitive graphs. Moreover, each of these ‘basic’ graphs is either an arc-transitive bicirculant or an arc-transitive circulant, and each graph in the latter case has an arc-transitive bicirculant normal (Formula presented.) -cover for some integer (Formula presented.).
|Number of pages||23|
|Journal||Journal of the London Mathematical Society|
|Publication status||Published - Jan 2022|
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- 1 Finished
Symmetries of finite digraphs
Giudici, M., Li, C. & Verret, G.
1/01/15 → 31/12/19