Constructing 2-arc-transitive covers of hypercubes

DOI10.1007/s00373-019-02049-8zbMath1426.05064arXiv1805.06371OpenAlexW2963573176MaRDI QIDQ2334063

Yian Xu, Michael Giudici, Cai Heng Li

Publication date: 6 November 2019

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.06371

zbMATH Keywords

quadratic formsymmetric basisextraspecial 2-groupnormal Cayley graphlocally-primitive graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Uses Software

• Magma

Cites Work

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• 2-arc-transitive regular covers of complete graphs having the covering transformation group \(Z^{3}_{p}\)
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• On \(2\)-arc-transitive covers of complete graphs
• A classification of 2-arc-transitive circulants
• The automorphism group of an extraspecial \(p\)-group
• Classical Groups, Derangements and Primes
• On a Class of Fixed-Point-Free Graphs
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• Enumerating Groups Acting Regularly on a d-Dimensional Cube
• Arc transitive covering digraphs and their eigenvalues

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