Dmitry BerdinskyProhrak KruengthomyaMahidol UniversityCommission on Higher Education2020-03-262020-03-262020-01-01Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol.12038 LNCS, (2020), 115-12716113349030297432-s2.0-85081626430https://repository.li.mahidol.ac.th/handle/20.500.14594/53649© Springer Nature Switzerland AG 2020. We construct a new family of Cayley automatic representations of semidirect products (Formula Presented) for which none of the projections of the normal subgroup Zn onto each of its cyclic components is finite automaton recognizable. For n=2 we describe a family of matrices from GL(2, Z) corresponding to these representations. We are motivated by a problem of characterization of all possible Cayley automatic representations of these groups.Mahidol UniversityComputer ScienceMathematicsConference PaperSCOPUS10.1007/978-3-030-40608-0_7