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Generalisations of the Todd-Coxeter Algorithm

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Computational Algebra and Number Theory

Part of the book series: Mathematics and Its Applications ((MAIA,volume 325))

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Abstract

The Todd-Coxeter coset enumeration algorithm was perhaps the first non-trivial algorithm from pure mathematics to be programmed for a digital computer. Recently the author has developed two related algorithms, the double coset enumeration algorithm and the vector enumeration algorithm. This paper establishes a common framework for the three algorithms, based on a related algorithm for constructing transformation representations of monoids.

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References

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© 1995 Springer Science+Business Media Dordrecht

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Linton, S.A. (1995). Generalisations of the Todd-Coxeter Algorithm. In: Bosma, W., van der Poorten, A. (eds) Computational Algebra and Number Theory. Mathematics and Its Applications, vol 325. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1108-1_3

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  • DOI: https://doi.org/10.1007/978-94-017-1108-1_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4560-7

  • Online ISBN: 978-94-017-1108-1

  • eBook Packages: Springer Book Archive

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