Automorphisms of linear automata

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Relationships between the group, Aut(M), of automorphisms of a linear automaton M and the structure of M are determined. Linear automata in which Aut(M) is a group of translations are characterized in terms of the structure of the state space of M. Also, conditions are determined as to when Aut(M) contains only linear transformations.

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论文评审过程:Received 17 April 1977, Revised 16 February 1979, Available online 2 December 2003.

论文官网地址:https://doi.org/10.1016/0022-0000(79)90010-2