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

Issued Date

2020-01-01

Resource Type

Conference Paper

ISSN

16113349
03029743

DOI

10.1007/978-3-030-40608-0_7

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/20.500.14594/53649

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Title

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

Author(s)

Dmitry Berdinsky
 Prohrak Kruengthomya

Other Contributor(s)

Mahidol University
 Commission on Higher Education

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.

Keyword(s)

Computer Science
 Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/53649

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Scopus 2020