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Finiteness and Dehn functions of automatic monoids having directed fellow traveller property

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Abstract

A left-cancellative automatic monoid having directed fellow traveller property is finitely presented, and the first order Dehn functions of such automatic monoids are bounded above by a quadratic function. These results coincide with those of automatic groups.

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Authors and Affiliations

  1. Department of Mathematics, Shenzhen University, Shenzhen, 518060, Guangdong, P.R. China

    Xiaofeng Wang, Wanwen Xie & Hanling Lin

Authors
  1. Xiaofeng Wang
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  2. Wanwen Xie
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  3. Hanling Lin
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Corresponding author

Correspondence to Xiaofeng Wang.

Additional information

Communicated by Steve Pride.

The research of X. Wang was partially supported by China National Science Funds (No:10771077 and 10671114).

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Wang, X., Xie, W. & Lin, H. Finiteness and Dehn functions of automatic monoids having directed fellow traveller property. Semigroup Forum 79, 15–21 (2009). https://doi.org/10.1007/s00233-009-9163-z

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  • DOI: https://doi.org/10.1007/s00233-009-9163-z

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