This article is cited in 3 papers

Structure of subsemigroups of factor-powers of finite symmetric groups

A. G. Ganyushkin, V. S. Mazorchuk

National Taras Shevchenko University of Kyiv

Abstract: For the factor-power $\mathscr F\mathscr P(S_n)$ of the symmetric group $S_n$, 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 semigroup $\mathscr F\mathscr P(S_n)$.

Received: 20.04.1994

 English version: Mathematical Notes, 1995, 58:3, 910–920

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