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Structure of subsemigroups of factor-powers of finite symmetric groups

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Abstract

For the factor-powerFP(S n ) of the symmetric groupS n , we describe regular elements, maximal subgroups, isolated and fully isolated subsemigroups, and also maximal nilpotent subsemigroups whose zero elements coincide with the zero element of the semigroupFP(S n ).

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References

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Authors and Affiliations

  1. Taras Shevchenko Kiev University, USSR

    A. G. Ganyushkin & V. S. Mazorchuk

Authors
  1. A. G. Ganyushkin
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  2. V. S. Mazorchuk
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Additional information

Translated fromMatematicheskie Zametki, Vol. 58, No. 3, pp. 341–354, September, 1995.

This research was partially supported by the Foundation for Fundamental Research of the State Committee for Science and Engineering of the Ukraine.

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Ganyushkin, A.G., Mazorchuk, V.S. Structure of subsemigroups of factor-powers of finite symmetric groups. Math Notes 58, 910–920 (1995). https://doi.org/10.1007/BF02304767

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  • DOI: https://doi.org/10.1007/BF02304767

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