• Corpus ID: 254044091

Two-arc-transitive bicirculants

@inproceedings{Jin2022TwoarctransitiveB,
  title={Two-arc-transitive bicirculants},
  author={Wei Jin},
  year={2022}
}

• W. Jin
• Published 26 November 2022
• Mathematics

. In this paper, we determine the class of finite 2-arc-transitive bicirculants. We show that a connected 2-arc-transitive bicirculant is one of the following graphs: C 2 n where n > 2, K 2 n where n > 2, K n,n where n > 3, K n,n − n K 2 where n > 4, B (PG( d − 1 , q )) and B ′ (PG( d − 1 , q )) where d ≥ 3 and q is a prime power, X 1 (4 , q ) where q ≡ 3 (mod 4) is a prime power, K 2 d q +1 where q is an odd prime power and d ≥ 2 dividing q − 1, AT Q (1 + q, 2 d ) where d | q − 1 and d ∤ 1 2 ( q − 1), AT D (1 + q, 2 d ) where d | 12 ( q − 1) and d ≥ 2, Γ( d, q, r ), where d ≥ 2, q is a prime power and r | q − 1, Petersen graph, Desargues graph, dodecahedron graph, folded 5-cube, X (3 , 2), X 2 (3), AT Q (4 , 12), GP (12 , 5), GP (24 , 5), B ( H (11)), B ′ ( H (11)), AT D (4 , 6) and AT D (5 , 6).