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: | , |
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| Format: | Conference or Workshop Item |
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2020
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| Online Access: | https://repository.li.mahidol.ac.th/handle/123456789/53649 |
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| Institution: | Mahidol University |
| Summary: | © 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. |
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