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Groups, semigroups and finite presentations

Research output: Other contribution

Author(s)

Colin Matthew Campbell, Edmund Frederick Robertson, Nikola Ruskuc, RM Thomas

School/Research organisations

Abstract

Two questions are discussed. Firstly, what is the connection between the group and the semigroup defined by the same presentation? Secondly, do there exist any results for semigroups with respect to substructures being finitely presented that correspond to the classical results for groups? These themes are considered both from a geometric and a combinatorial point of view.

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Details

Original languageEnglish
Publisherde Gruyter
Publication statusPublished - 1999

Publication series

NameGeometric Group Theory Down Under (edited by John Cossey, Charles F. Miller III, Walter D. Neumann nd Michael Shapiro)
NameGeometric Group Theory Down Under (edited by John Cossey, Charles F. Miller III, Walter D. Neumann and Michael Shapiro)

    Research areas

  • GENERALIZED TRIANGLE GROUPS, HIGH-POWERED RELATOR, FREE PRODUCT, QUOTIENT, SUBSEMIGROUPS, COXETER

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  1. Automatic completely-simple semigroups

    Campbell, C. M., Robertson, E. F., Ruskuc, N. & Thomas, R. M., May 2002, In: Acta Mathematica Hungarica. 95, 3, p. 201-215 15 p.

    Research output: Contribution to journal › Article › peer-review

  2. Automatic semigroups

    Campbell, C. M., Robertson, E. F., Ruskuc, N. & Thomas, RM., 6 Jan 2001, In: Theoretical Computer Science. 250, 1-2, p. 365-391 27 p.

    Research output: Contribution to journal › Article › peer-review

  3. Direct products of automatic semigroups

    Campbell, C. M., Robertson, E. F., Ruskuc, N. & Thomas, RM., Aug 2000, In: Journal of the Australian Mathematical Society. 69, 1, p. 19-24 6 p.

    Research output: Contribution to journal › Article › peer-review

  4. Groups St Andrews 1997 in Bath Volume 1

    Campbell, C. M., Robertson, E. F., Ruskuc, N. & Smith, GC., 1999, Cambridge University Press.

    Research output: Book/Report › Book

  5. The Copson and Curle lectures

    Campbell, C. M. & Robertson, E. F., 2020, Proceedings of the Conference on the History of Mathematics and Teaching of Mathematics, Miskolc, 2020. Kortesi, P. (ed.). Miskolc: University of Miskolc, 11 p.

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

ID: 174578

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