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

  • Gregory A. Freiman
  • Boris M. Schein
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1320)


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.


Left Identity Commutative Semigroup Quaternion Group Left Coset Zero Semigroup 
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Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Gregory A. Freiman
  • Boris M. Schein

There are no affiliations available

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