59 citations · 338 across the 95 of their papers we have counts for
5 papers · 1 filter
Computing in matrix groups without memory
Peter J. Cameron, Ben Fairbairn, Maximilien Gadouleau
Memoryless computation is a novel means of computing any function of a set of registers by updating one register at a time while using no memory. We aim to emulate how computations…
Computing in permutation groups without memory
Peter J. Cameron, Ben Fairbairn, Maximilien Gadouleau
Memoryless computation is a new technique to compute any function of a set of registers by updating one register at a time while using no memory. Its aim is to emulate how computat…
Permutation groups and transformation semigroups: results and problems
João Araújo, Peter J. Cameron
J.M. Howie, the influential St Andrews semigroupist, claimed that we value an area of pure mathematics to the extent that (a) it gives rise to arguments that are deep and elegant,…
Primitive Groups Synchronize Non-uniform Maps of Extreme Ranks
João Araújo, Peter J. Cameron
Let be a set of cardinality , a permutation group on , and a map which is not a permutation. We say that synchronizes if the semigroup $\langle G,f\…
The Classification of Partition Homogeneous Groups with Applications to Semigroup Theory
Jorge André, João Araújo, Peter J. Cameron
Let be a \emph{partition} of , a sequence of positive integers in non-increasing order with sum . Let . An ordered partition $P=(A_1,A_2,...…