Enumeration with the lattice of periods
type: Item
instance of: scholarly article
title: Enumeration with the lattice of periods
zbMATH Open document ID: 0591.05002
DOI: 10.1016/0012-365X(86)90080-4
author: Mauro Cerasoli
published in: Discrete Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The author investigates the connection between the lattice of periods of a finite set under group action [see \textit{G.-C. Rota}, Bull. Am. Math. Soc. 75, 330-334 (1969); \textit{G.-C. Rota} and \textit{D. A. Smith}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 4, 637-646 (1977; Zbl 0367.05008)] and enumeration problems. As applications, the generating polynomial of the colouring functions and a combinatorial interpretation of the Jordan totient function are given.
reviewed by: Indulis Strazdins
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 06A15
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 3948272
zbMATH Keywords: lattice of periods
zbMATH Keywords: finite set
zbMATH Keywords: group action
zbMATH Keywords: enumeration problems
MaRDI profile type: Publication
cites work: Q3050437
cites work: Q5331549
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description: scientific article; zbMATH DE number 3948272