On one generalization of the classical M\"obius 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
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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/