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Group and semigroup theoretic considerations inspired by inverse problems of the additive number theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 1320)

Abstract

This paper contains an expanded version of a talk on algebraic systems with small squaring given by the first author during the traditional Mathematical Colloquium at the University of St. Andrews, Scotland, in the summer of 1984. New results for groups and semigroups are added. The collaboration of the authors on these topics started in Kääriku, Estonia, in 1976, continued in Moscow, Russia, in 1977–1979, in St. Andrews, Scotland, in 1984, Fayetteville, Arkansas, in 1985, and Tel-Aviv, Israel, in 1986. The authors are grateful to Graham Higman, Joseph Rotman and Elliot Weinberg for fruitful discussions.

Keywords

  • Left Identity
  • Commutative Semigroup
  • Quaternion Group
  • Left Coset
  • Zero Semigroup

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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© 1988 Springer-Verlag

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Freiman, G.A., Schein, B.M. (1988). Group and semigroup theoretic considerations inspired by inverse problems of the additive number theory. In: Jürgensen, H., Lallement, G., Weinert, H.J. (eds) Semigroups Theory and Applications. Lecture Notes in Mathematics, vol 1320. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083425

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  • DOI: https://doi.org/10.1007/BFb0083425

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  • Print ISBN: 978-3-540-19347-0

  • Online ISBN: 978-3-540-39225-5

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