Geodesic
Combinatorics of partial wreath power of finite inverse symmetric semigroup ISd
Algebra and discrete mathematics, no. 1 (2007), pp. 49-60.

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

We study some combinatorial properties of ≀pkISd. In particular, we calculate its order, the number of idempotents and the number of D-classes. For a given based graph Γ⊂T we compute the number of elements in its D-class DΓ and the number of R- and L-classes in DΓ.
Keywords: Wreath product, finite inverse symmetric semigroup, rooted tree
Mots-clés : partial automorphism. 
@article{ADM_2007_1_a4,
     author = {Yevgeniya Kochubinska},
     title = {Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$},
     journal = {Algebra and discrete mathematics},
     pages = {49--60},
     publisher = {mathdoc},
     number = {1},
     year = {2007},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/ADM_2007_1_a4/}
}
TY  - JOUR
AU  - Yevgeniya Kochubinska
TI  - Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$
JO  - Algebra and discrete mathematics
PY  - 2007
SP  - 49
EP  - 60
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/ADM_2007_1_a4/
LA  - en
ID  - ADM_2007_1_a4
ER  - 
%0 Journal Article
%A Yevgeniya Kochubinska
%T Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$
%J Algebra and discrete mathematics
%D 2007
%P 49-60
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/ADM_2007_1_a4/
%G en
%F ADM_2007_1_a4
Yevgeniya Kochubinska. Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$. Algebra and discrete mathematics, no. 1 (2007), pp. 49-60. https://geodesic-test.mathdoc.fr/item/ADM_2007_1_a4/