Simon M. Smith

activity

20062026

most citedA product for permutation groups and topological groups

27 citations · 46 across the 12 of their papers we have counts for

collaborators

Showing 2006Show all

3 papers · 1 filter

math.GR2006★ 5 cited

Subdegree growth rates of infinite primitive permutation groups

Simon M. Smith

A transitive group $G$ of permutations of a set $Ω$ is primitive if the only $G$ -invariant equivalence relations on $Ω$ are the trivial and universal relations. If $α \in Ω$ , then t…

math.GR2006★ 2 cited

Orbital graphs of infinite primitive permutation groups

Simon M. Smith

If $G$ is a group acting on a set $Ω$ and $α, β \in Ω$ , the digraph whose vertex set is $Ω$ and whose arc set is the orbit $(α, β)^{G}$ is called an {\em orbital digraph} of $G$ . Each…

math.CO2006★ 6 cited

Infinite primitive directed graphs

Simon Smith

A group $G$ of permutations of a set $Ω$ is {\em primitive} if it acts transitively on $Ω$ , and the only $G$ -invariant equivalence relations on $Ω$ are the trivial and universal re…