18 citations · 44 across the 15 of their papers we have counts for
18 papers
Stallings foldings for rational subsets of automatic groups
Lucía Asencio-Martín, John R. Britnell, Andrew Duncan +2
Let be an automatic group with associated regular language . We describe a procedure for constructing an automaton which recognises elements of a given submonoid or rational…
Involutive random walks on total orders and the anti-diagonal eigenvalue property
John R. Britnell, Mark Wildon
This paper studies a family of random walks defined on the finite ordinals using their order reversing involutions. Starting at , an element is…
Computing derangement probabilities of the symmetric group acting on k-sets
John R. Britnell, Mark Wildon
Let be the limiting proportion, as , of permutations in the symmetric group of degree that fix a -set. We give an algorithm for computing…
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 be the number of set partitions of a set of size~ into at most parts and let be the number of set partitions of into at most par…
On exceptional groups of order p^5
John R. Britnell, Neil Saunders, Tony Skyner
A finite group G is exceptional if it has a quotient Q whose minimal faithful permutation degree is greater than that of G. We say that Q is a distinguished quotient. The smallest…
The majority game with an arbitrary majority
John R. Britnell, Mark Wildon
The -majority game is played with numbered balls, each coloured with one of two colours. It is given that there are at least balls of the majority colour, where is a…