## References

SHOWING 1-10 OF 37 REFERENCES

### On the commuting probability of p-elements in a finite group

- Mathematics
- 2021

. Let G be a ﬁnite group, let p be a prime and let Pr p ( G ) be the probability that two random p -elements of G commute. In this paper we prove that Pr p ( G ) > ( p 2 + p − 1) /p 3 if and only if…

### Base sizes for primitive groups with soluble stabilisers

- MathematicsAlgebra & Number Theory
- 2021

Let $G$ be a finite primitive permutation group on a set $\Omega$ with point stabiliser $H$. Recall that a subset of $\Omega$ is a base for $G$ if its pointwise stabiliser is trivial. We define the…

### The spread of a finite group

- Mathematics
- 2020

A group $G$ is said to be $\frac{3}{2}$-generated if every nontrivial element belongs to a generating pair. It is easy to see that if $G$ has this property then every proper quotient of $G$ is…

### Classical Groups, Derangements and Primes

- Mathematics
- 2016

Preface Notational conventions 1. Introduction 2. Finite classical groups 3. Conjugacy classes 4. Subspace actions 5. Non-subspace actions 6. Low-dimensional classical groups Appendix A.…

### On the Order of Uniprimitive Permutation Groups

- Mathematics
- 1981

One of the central problems of 19th century group theory was the estimation of the order of a primitive permutation group G of degree n, where G X An. We prove I G I < exp (4V'/ n log2 n) for the…

### On the Minimal Degree of a Primitive Permutation Group

- Mathematics
- 1998

Abstract We improve a result of Liebeck and Saxl concerning the minimal degree of a primitive permutation group and use it to strengthen a result of Guralnick and Neubauer on generic covers of…