John R. Britnell

activity

20052026

most citedThe probability that a pair of elements of a finite group are conjugate

18 citations · 44 across the 15 of their papers we have counts for

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Showing 2015 · math.COShow all

2 papers · 2 filters

math.CO2015★ 1 cited

Computing derangement probabilities of the symmetric group acting on k-sets

John R. Britnell, Mark Wildon

Let $i (\infty, k)$ be the limiting proportion, as $n \to \infty$ , of permutations in the symmetric group of degree $n$ that fix a $k$ -set. We give an algorithm for computing…

math.CO2015

Bell numbers, partition moves and the eigenvalues of the random-to-top shuffle in Dynkin Types A, B and D

John R. Britnell, Mark Wildon

Let $B_{t} (n)$ be the number of set partitions of a set of size~ $t$ into at most $n$ parts and let $B_{t}^{'} (n)$ be the number of set partitions of ${1, \dots, t}$ into at most $n$ par…