Publication: Nonstandard cayley automatic representations for fundamental groups of torus bundles over the circle
2
Issued Date
2020-01-01
Resource Type
ISSN
16113349
03029743
03029743
Other identifier(s)
2-s2.0-85081626430
Rights
Mahidol University
Rights Holder(s)
SCOPUS
Bibliographic Citation
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol.12038 LNCS, (2020), 115-127
Suggested Citation
Dmitry Berdinsky, Prohrak Kruengthomya Nonstandard cayley automatic representations for fundamental groups of torus bundles over the circle. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol.12038 LNCS, (2020), 115-127. doi:10.1007/978-3-030-40608-0_7 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/53649
Research Projects
Organizational Units
Authors
Journal Issue
Thesis
Title
Nonstandard cayley automatic representations for fundamental groups of torus bundles over the circle
Author(s)
Other Contributor(s)
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.