Non-Abelian finite groups whose character sums are invariant but are not Cayley isomorphism

DOI10.1142/S0219498819500130zbMath1477.20008arXiv1710.04446OpenAlexW2964122157MaRDI QIDQ5376492

Maysam Zallaghi, Alireza Abdollahi

Publication date: 10 May 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04446

zbMATH Keywords

Cayley graphsCI-groupsspectra of graphsBI-groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Uses Software

• GAP

Cites Work

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• On isomorphisms of finite Cayley graphs---a survey
• Further restrictions on the structure of finite CI-groups
• The Cayley isomorphism property for groups of order 8p
• Character Sums for Cayley Graphs
• On the Cayley isomorphism problem for a digraph with 24 vertices
• Constructive enumeration of graphs
• Isomorphism problem for a class of point-symmetric structures
• Isomorphism Problem for Metacirculant Graphs of Order a Product of Distinct Primes

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