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Abstract
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.).
| Original language | English |
|---|---|
| Pages (from-to) | 1-23 |
| Number of pages | 23 |
| Journal | Journal of the London Mathematical Society |
| Volume | 105 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2022 |
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