Issue Theoret. Informatics Appl. Volume 35, Number 6, November-December 2001 A tribute to Aldo de Luca Page(s) 579 - 595 DOI 10.1051/ita:2001133

DOI: 10.1051/ita:2001133


Theoret. Informatics Appl. 35, 579-595 (2001)

Free Burnside Semigroups

Alair Pereira do Lago and Imre Simon

Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, 05508-090 São Paulo, SP, Brazil; alair@ime.usp.br. is@ime.usp.br.

(Received March 27, 2001. Revised January 31, 2002.)

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.

Mathematics Subject Classification. 20M05, 20F50


© EDP Sciences 2001

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