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On permutation properties for semigroups

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Group Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1281))

Abstract

We present a semigroup which does not have the permutation property P defined by Restivo and Reutenauer in [3], but satisfies a weaker permutation property p*.

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References

  1. M. CURZIO, P. LONGOBARDI and M. MAJ, Su un problema combinatorio in teoria dei gruppi, Atti Acc. Lincei Rend. fis. VIII, 74, 136–142 (1983).

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  2. M. CURZIO, P. LONGOBARDI, M. MAJ and D.J.S. ROBINSON, A permutational property of groups, Arch. Math., 44, 385–389 (1985).

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  3. A. RESTIVO and C. REUTENAUER, On Burnside problem for semigroups, J. Algebra, 89, 102–104 (1984).

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Authors and Affiliations

  1. I.A.G.A.-I.A.M.I.-C.N.R., Viale Morgagni 67/A, Firenze, Italia

    Giuseppe Pirillo

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  1. Giuseppe Pirillo
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Otto H. Kegel Federico Menegazzo Giovanni Zacher

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© 1987 Springer-Verlag

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Pirillo, G. (1987). On permutation properties for semigroups. In: Kegel, O.H., Menegazzo, F., Zacher, G. (eds) Group Theory. Lecture Notes in Mathematics, vol 1281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078697

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  • DOI: https://doi.org/10.1007/BFb0078697

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18399-0

  • Online ISBN: 978-3-540-47948-2

  • eBook Packages: Springer Book Archive

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