Geodesic
Free semigroups in wreath powers of transformation semigroups
Algebra and discrete mathematics, Tome 10 (2010) no. 2, pp. 96-106

Voir la notice de l'article provenant de la source Math-Net.Ru

It is established a criterion when the infinite wreath power of a finite transformation semigroup contains a free subsemigroup. It is shown that the infinite wreath power of a transformation semigroup either contains no free non-commutative subsemigroups or most of its finitely generated subsemigroups are free. 
@article{ADM_2010_10_2_a7,
     author = {A. Oliynyk},
     title = {Free semigroups in wreath powers of transformation semigroups},
     journal = {Algebra and discrete mathematics},
     pages = {96--106},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2010_10_2_a7/}
}
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A. Oliynyk. Free semigroups in wreath powers of transformation semigroups. Algebra and discrete mathematics, Tome 10 (2010) no. 2, pp. 96-106. http://geodesic.mathdoc.fr/item/ADM_2010_10_2_a7/