Geodesic
Structure of subsemigroups of factor-powers of finite symmetric groups
Matematičeskie zametki, Tome 58 (1995) no. 3, pp. 341-354 
A. G. Ganyushkin; V. S. Mazorchuk. Structure of subsemigroups of factor-powers of finite symmetric groups. Matematičeskie zametki, Tome 58 (1995) no. 3, pp. 341-354. http://geodesic.mathdoc.fr/item/MZM_1995_58_3_a2/
@article{MZM_1995_58_3_a2,
     author = {A. G. Ganyushkin and V. S. Mazorchuk},
     title = {Structure of subsemigroups of factor-powers of finite symmetric groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {341--354},
     year = {1995},
     volume = {58},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_3_a2/}
}
TY  - JOUR
AU  - A. G. Ganyushkin
AU  - V. S. Mazorchuk
TI  - Structure of subsemigroups of factor-powers of finite symmetric groups
JO  - Matematičeskie zametki
PY  - 1995
SP  - 341
EP  - 354
VL  - 58
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MZM_1995_58_3_a2/
LA  - ru
ID  - MZM_1995_58_3_a2
ER  - 
%0 Journal Article
%A A. G. Ganyushkin
%A V. S. Mazorchuk
%T Structure of subsemigroups of factor-powers of finite symmetric groups
%J Matematičeskie zametki
%D 1995
%P 341-354
%V 58
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1995_58_3_a2/
%G ru
%F MZM_1995_58_3_a2

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

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 $\mathscr F\mathscr P(S_n)$.

[1] Ganyushkin A. G., Mazorchuk V. S., “Faktorstepeni i indutsirovannye deistviya polugrupp preobrazovanii”, Tretya mezhdunarodnaya konferentsiya po algebre, Sb. tezisov, Krasnoyarsk, 1993, 83–84

[2] Ganyushkin A. G., Mazorchuk V. S., “Faktorstepeni simmetricheskikh grupp”, Matem. zametki, 58:2 (1995), 176–188 | MR | Zbl

[3] Ganyushkin O. G., Kormisheva T. V., “Izolovani ta nilpotentni pidnapivgrupi skinchennoi inversnoi simetrichnoi napivgrupi”, Dopovidi AN Ukrani, 1993, no. 9, 5–9 | MR

[4] Ganyushkin O. G., Mazorchuk V. S., “Faktorstepei napivgrup peretvoren”, Dopovidi AN Ukrani, 1993, no. 12, 5–9 | MR

[5] Obschaya algebra, T. 2, ed. A. A. Skornyakov, Nauka, M., 1991

[6] Klifford G., Preston A., Algebraicheskaya teoriya polugrupp, T. 1, Mir, M., 1972 | Zbl

[7] Algebraicheskaya teoriya avtomatov, yazykov i polugrupp, ed. M. A. Arbit, Statistika, M., 1975

[8] Keisler G., Chen Ch. Ch., Teoriya modelei, Mir, M., 1977