On one generalization of the classical Möbius inversion
News of the Kabardin-Balkar scientific center of RAS, no. 2 (2003), pp. 32-34
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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
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},
year = {2003},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IZKAB_2003_2_a3/}
}
V. N. Shokuev; A. B. Khamgokov. On one generalization of the classical Möbius 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/