Gabriel Verret

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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 2016 · math.GRShow all

3 papers · 2 filters

math.GR2016

Arc-transitive digraphs with quasiprimitive local actions

Michael Giudici, S. P. Glasby, Cai Heng Li +1

Let $Γ$ be a finite $G$ -vertex-transitive digraph. The in-local action of $(Γ, G)$ is the permutation group $L_{-}$ induced by the vertex-stabiliser on the set of in-neighbours of $v$ …

math.GR2016★ 16 cited

Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5

Joanna B. Fawcett, Michael Giudici, Cai Heng Li +3

We classify finite primitive permutation groups having a suborbit of length 5. As a corollary, we obtain a classification of finite vertex-primitive graphs of valency 5. In the pro…

math.GR2016

The number of composition factors of order $p$ in completely reducible groups of characteristic $p$

Michael Giudici, S. P. Glasby, Cai Heng Li +1

Let $q$ be a power of a prime $p$ and let $G$ be a completely reducible subgroup of $GL (d, q)$ . We prove that the number of composition factors of $G$ that have prime order…

Arc-transitive digraphs with quasiprimitive local actions

Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5

The number of composition factors of order p in completely reducible groups of characteristic p

The number of composition factors of order $p$ in completely reducible groups of characteristic $p$