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• W3043079927 abstract "We give a new characterization of primitive permutation groups tied to the notion of completely reachable automata. Also, we introduce sync-maximal permutation groups tied to the state complexity of the set of synchronizing words of certain associated automata and show that they are contained between the $2$-homogeneous and the primitive groups. Lastly, we define $k$-reachable groups in analogy with synchronizing groups and motivated by our characterization of primitive permutation groups. But the results show that a $k$-reachable permutation group of degree $n$ with $6 le k le n - 6$ is either the alternating or the symmetric group." @default.
• W3043079927 created "2020-07-23" @default.
• W3043079927 creator A5021976865 @default.
• W3043079927 date "2020-07-17" @default.
• W3043079927 modified "2023-09-27" @default.
• W3043079927 title "Completely Reachable Automata, Primitive Groups and the State Complexity of the Set of Synchronizing Words" @default.
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• W3043079927 hasPublicationYear "2020" @default.
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