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20102025
most citedPrimitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5

16 citations · 77 across the 45 of their papers we have counts for

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Showing 2019 · math.COShow all

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math.CO2019

Skew product groups for monolithic groups

Martin Bachratý, Marston Conder, Gabriel Verret

Skew morphisms, which generalise automorphisms for groups, provide a fundamental tool for the study of regular Cayley maps and, more generally, for finite groups with a complementa…

math.CO2019

Arc-transitive graphs of valency twice a prime admit a semiregular automorphism

Michael Giudici, Gabriel Verret

We prove that every finite arc-transitive graph of valency twice a prime admits a nontrivial semiregular automorphism, that is, a non-identity automorphism whose cycles all have th…