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math.GR2012★ 2 cited
Groups Synchronizing a Transformation of Non-Uniform Kernel
João Araújo, Wolfram Bentz, Peter J. Cameron
This paper concerns the general problem of classifying the finite deterministic automata that admit a synchronizing (or reset) word. (For our purposes it is irrelevant if the autom…
math.GR2012★ 1 cited
The classification of normalizing groups
João Araújo, Peter J. Cameron, James Mitchell +1
Let be a finite set such that . Let $\trans$ and $\sym$ denote respectively the transformation monoid and the symmetric group on points. Given $a\in \trans\setminus…