The base size of a permutation group, and the metric dimension of a graph, are two of a
number of related parameters of groups, graphs, coherent configurations and association …

The study of fixed point ratios is a classical topic in permutation group theory, with a long
history stretching back to the origins of the subject in the 19th century. Fixed point ratios …

A group G is said to be 32-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 cyclic. In …

Let G be a permutation group acting on a set Ω. A subset of Ω is a base for G if its pointwise
stabilizer in G is trivial. We write b (G) for the minimal size of a base for G. We determine the …

A base of a permutation group G on a set Ω is a subset B of Ω such that the pointwise
stabilizer of B in G is trivial. The base size of G, denoted by b (G), is the minimal cardinality of …

Minimal degree, base size, order: selected topics on primitive permutation groups | Archiv der
Mathematik Skip to main content SpringerLink Account Menu Find a journal Publish with us …

Let G be a finite almost simple classical group and let Ω be a faithful primitive non-standard
G-set. A subset of Ω is a base for G if its pointwise stabilizer in G is trivial. Let b (G) be the …

Let G be a finite group. A proper subgroup H of G is said to be large if the order of H satisfies
the bound| H| 3⩾| G|. In this note we determine all the large maximal subgroups of finite …

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

A base for a permutation group $ G $ acting on a set $\Omega $ is a subset $\mathcal {B} $
of $\Omega $ such that the pointwise stabiliser $ G_ {(\mathcal {B})} $ is trivial. Let $ n $ and …