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

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

© 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 famil...

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Main Authors: Dmitry Berdinsky, Prohrak Kruengthomya
Other Authors: Mahidol University
Format: Conference or Workshop Item
Published: 2020
Subjects:
Computer Science
Mathematics
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/53649
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spelling th-mahidol.536492020-03-26T11:50:20Z Nonstandard cayley automatic representations for fundamental groups of torus bundles over the circle Dmitry Berdinsky Prohrak Kruengthomya Mahidol University Commission on Higher Education Computer Science Mathematics © 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. 2020-03-26T04:41:03Z 2020-03-26T04:41:03Z 2020-01-01 Conference Paper Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol.12038 LNCS, (2020), 115-127 10.1007/978-3-030-40608-0_7 16113349 03029743 2-s2.0-85081626430 https://repository.li.mahidol.ac.th/handle/123456789/53649 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081626430&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Computer Science
Mathematics
spellingShingle Computer Science
Mathematics
Dmitry Berdinsky
Prohrak Kruengthomya
Nonstandard cayley automatic representations for fundamental groups of torus bundles over the circle
description © 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.
author2 Mahidol University
author_facet Mahidol University
Dmitry Berdinsky
Prohrak Kruengthomya
format Conference or Workshop Item
author Dmitry Berdinsky
Prohrak Kruengthomya
author_sort Dmitry Berdinsky
title Nonstandard cayley automatic representations for fundamental groups of torus bundles over the circle
title_short Nonstandard cayley automatic representations for fundamental groups of torus bundles over the circle
title_full Nonstandard cayley automatic representations for fundamental groups of torus bundles over the circle
title_fullStr Nonstandard cayley automatic representations for fundamental groups of torus bundles over the circle
title_full_unstemmed Nonstandard cayley automatic representations for fundamental groups of torus bundles over the circle
title_sort nonstandard cayley automatic representations for fundamental groups of torus bundles over the circle
publishDate 2020
url https://repository.li.mahidol.ac.th/handle/123456789/53649
_version_ 1763493959048364032

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