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Free Burnside Semigroups

Published online by Cambridge University Press:  15 July 2002

Alair Pereira do Lago  and
Imre Simon
Alair Pereira do Lago
Affiliation:
Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, 05508-090 São Paulo, SP, Brazil; (alair@ime.usp.br)
Imre Simon
Affiliation:
Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, 05508-090 São Paulo, SP, Brazil; (is@ime.usp.br)
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Abstract

This paper surveys the area of Free Burnside Semigroups. The theory of these semigroups, as is the case for groups, is far from being completely known. For semigroups, the most impressive results were obtained in the last 10 years. In this paper we give priority to the mathematical treatment of the problem and do not stress too much neither motivation nor the historical aspects. No proofs are presented in this paper, but we tried to give as many examples as was possible.

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Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 35 , Issue 6: A tribute to Aldo de Luca , November 2001 , pp. 579 - 595
Copyright
© EDP Sciences, 2001

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