Geodesic
Fine and Wilf’s theorem for permutations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 377-381

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

We try to extend to permutations the famous Fine and Wilf’s theorem valid for words and see that it is possible to do it only partially: the theorem is valid for coprime periods, but if the periods are not coprime, there is another statement valid instead.
Keywords: Fine and Wilf’s theorem, periodicity
Mots-clés : permutations, infinite permutations. 
@article{SEMR_2012_9_a21,
     author = {A. \`E. Frid},
     title = {Fine and {Wilf{\textquoteright}s} theorem for permutations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {377--381},
     publisher = {mathdoc},
     volume = {9},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2012_9_a21/}
}
TY  - JOUR
AU  - A. È. Frid
TI  - Fine and Wilf’s theorem for permutations
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2012
SP  - 377
EP  - 381
VL  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2012_9_a21/
LA  - en
ID  - SEMR_2012_9_a21
ER  - 
%0 Journal Article
%A A. È. Frid
%T Fine and Wilf’s theorem for permutations
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2012
%P 377-381
%V 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2012_9_a21/
%G en
%F SEMR_2012_9_a21
A. È. Frid. Fine and Wilf’s theorem for permutations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 377-381. http://geodesic.mathdoc.fr/item/SEMR_2012_9_a21/