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Low-dimensional affine synchronizing groups

Tese de mestrado em Matemática, apresentada à Universidade de Lisboa, através da Faculdade de Ciências, 2012 ; The synchronization property emerged from finite state automata and transformation semigroup theory. Synchronizing permutation groups were introduced by Arnold and Steinberg to study the Cerný Conjecture. In this thesis we study the synchronization property in affine permutation groups of low-dimensio...