Subsemigroup of Tn assigned to a fixed point free permutation

被引：0

作者：

Wojcik, Klaudiusz ^{[1
]}

机构：

[1] Jagiellonian Univ, Dept Math & Comp Sci, Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

SEMIGROUP FORUM | 2024年 / 109卷 / 03期

关键词：

Finite full transformation semigroup; Idempotents; Dold sequences; IDEMPOTENTS; PRODUCTS; SEMIGROUPS; FERMAT; INDEX;

D O I：

10.1007/s00233-024-10482-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assume that Tn is the full transformation semigroup of X = {1,..., n} and Sn. Tn is the symmetric group. For s. Sn and i. X we define fi, s. Tn by fi, s (i) = s(i), and fi, s ( j) = j for j = i. Let S be the subsemigroup of Tn generated by idempotents f1, s,..., fn, s . Let a. S. We study the sequence (card F(ak))k.N, where F(ak) is the set of fixed points of ak. We will focus on the case s = (1 2... n). Our motivation comes from a geometric method for detecting chaotic dynamics based on the Wa.zewski retract principle.

引用

页码：734 / 752

页数：19

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