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Nonstandard cayley automatic representations for fundamental groups of torus bundles over the circle

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dc.contributor.authorDmitry Berdinskyen_US
dc.contributor.authorProhrak Kruengthomyaen_US
dc.contributor.otherMahidol Universityen_US
dc.contributor.otherCommission on Higher Educationen_US
dc.date.accessioned2020-03-26T04:41:03Z
dc.date.available2020-03-26T04:41:03Z
dc.date.issued2020-01-01en_US
dc.description.abstract© 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.en_US
dc.identifier.citationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol.12038 LNCS, (2020), 115-127en_US
dc.identifier.doi10.1007/978-3-030-40608-0_7en_US
dc.identifier.issn16113349en_US
dc.identifier.issn03029743en_US
dc.identifier.other2-s2.0-85081626430en_US
dc.identifier.urihttps://repository.li.mahidol.ac.th/handle/20.500.14594/53649
dc.rightsMahidol Universityen_US
dc.rights.holderSCOPUSen_US
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081626430&origin=inwarden_US
dc.subjectComputer Scienceen_US
dc.subjectMathematicsen_US
dc.titleNonstandard cayley automatic representations for fundamental groups of torus bundles over the circleen_US
dc.typeConference Paperen_US
dspace.entity.typePublication
mu.datasource.scopushttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081626430&origin=inwarden_US

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