Geodesic
On one generalization of the classical M\"obius inversion
News of the Kabardin-Balkar scientific center of RAS, no. 2 (2003), pp. 32-34

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

A generalization of the Möbius inversion on lattices of subgroups of finite groups is obtained, which represents a direct generalization of the classical Möbius inversion on segments of the natural series, a number of properties of the Möbius functions of lattices of subgroups of finite groups and a generalization of the Gauss formula are proved.
Mots-clés : Möbius inversion
Keywords: nilpotent group, cyclic group 
@article{IZKAB_2003_2_a3,
     author = {V. N. Shokuev and A. B. Khamgokov},
     title = {On one generalization of the classical {M\"obius} inversion},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {32--34},
     publisher = {mathdoc},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2003_2_a3/}
}
TY  - JOUR
AU  - V. N. Shokuev
AU  - A. B. Khamgokov
TI  - On one generalization of the classical M\"obius inversion
JO  - News of the Kabardin-Balkar scientific center of RAS
PY  - 2003
SP  - 32
EP  - 34
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IZKAB_2003_2_a3/
LA  - ru
ID  - IZKAB_2003_2_a3
ER  - 
%0 Journal Article
%A V. N. Shokuev
%A A. B. Khamgokov
%T On one generalization of the classical M\"obius inversion
%J News of the Kabardin-Balkar scientific center of RAS
%D 2003
%P 32-34
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IZKAB_2003_2_a3/
%G ru
%F IZKAB_2003_2_a3
V. N. Shokuev; A. B. Khamgokov. On one generalization of the classical M\"obius inversion. News of the Kabardin-Balkar scientific center of RAS, no. 2 (2003), pp. 32-34. http://geodesic.mathdoc.fr/item/IZKAB_2003_2_a3/