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

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Showing 2006 · math.GRShow all

2 papers · 2 filters

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…