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

@article{Fawcett2016PrimitivePG, title={Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5}, author={Joanna B. Fawcett and Michael Giudici and Caiheng Li and Cheryl E. Praeger and Gordon F. Royle and Gabriel Verret}, journal={J. Comb. Theory, Ser. A}, year={2016}, volume={157}, pages={247-266} }

## 12 Citations

### Primitive Permutation Groups with a Solvable Subconstituent of Degree 7

- MathematicsIndian Journal of Pure and Applied Mathematics
- 2019

In this paper all primitive permutation groups which have a solvable subconstituent of degree 7 are determined.

### Tetravalent half-arc-transitive graphs of order 8p

- MathematicsJournal of Algebraic Combinatorics
- 2019

A graph is half-arc-transitive if its automorphism group acts transitively on its vertex set, edge set, but not arc set. Let p be a prime. It is known that there exist no tetravalent…

### Tetravalent half-arc-transitive graphs of order 8p

- MathematicsJournal of Algebraic Combinatorics
- 2019

A graph is half-arc-transitive if its automorphism group acts transitively on its vertex set, edge set, but not arc set. Let p be a prime. It is known that there exist no tetravalent…

### An infinite family of vertex-primitive 2-arc-transitive digraphs

- MathematicsJ. Comb. Theory, Ser. B
- 2017

### TETRAVALENT HALF-ARC-TRANSITIVE GRAPHS WITH UNBOUNDED NONABELIAN VERTEX STABILIZERS BINZHOU

- Mathematics
- 2019

Half-arc-transitive graphs are a fascinating topic which connects graph theory, Riemann surfaces and group theory. Although fruitful results have been obtained over the last half a century, it is…

### A Construction of Imprimitive Groups of Rank 4 or 5

- Mathematics
- 2020

Let G be a transitive permutation group acting on a finite set Ω. For a point α of Ω, the set of the images of G acting on α is called the orbit of α under G and is denoted by αG, and the set of…

### Tetravalent half-arc-transitive graphs with unbounded nonabelian vertex stabilizers

- MathematicsJ. Comb. Theory, Ser. B
- 2021

### A transversal property for permutation groups motivated by partial transformations

- MathematicsJournal of Algebra
- 2021

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In this paper all primitive permutation groups which have a solvable subconstituent of degree 7 are determined.

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