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On a problem of M. P. Schützenberger

Published online by Cambridge University Press:  20 January 2009

D. B. McAlister
D. B. McAlister
Affiliation:
Department of Mathematical SciencesNorthern Illinois UniversityDekalb, Illinois 60115
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A class of finite semigroups is called a genus if it is closed under homomorphic images, subsemigroups and finite direct products. During a talk at the Symposium on Semigroups held at the University of St Andrews, in 1976, M. P. Schützenberger posed the problem of characterising the smallest genus which contains finite groups and finite semigroups, all of whose subgroups are trivial.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 23 , Issue 3 , October 1980 , pp. 243 - 247
Copyright
Copyright © Edinburgh Mathematical Society 1980

References

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