The relation between Burnside rings and combinatorial species

DOI10.1016/0097-3165(89)90019-8zbMath0671.20004OpenAlexW2063475515MaRDI QIDQ1119734

Jacques Labelle, Yeong-Nan Yeh

Publication date: 1989

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(89)90019-8

zbMATH Keywords

permutation groupsBurnside ringtransitive actionscombinatorial speciesring of virtual species

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Representations of finite symmetric groups (20C30) Coloring of graphs and hypergraphs (05C15) Symmetric groups (20B30)

Related Items

On Combinatorial Structures Kept Fixed by the Action of a Given Permutation, On a generalization of index series of species, Lagrange inversion for species, Combinatorial proofs of symmetry formulas for the generalized hypergeometric series, The functorial composition of species, a forgotten operation, On asymmetric structures, Counting asymmetric enriched trees, On the symmetry and asymmetry of combinatorial structures, Self-similarity in the combinatorial theory of orthogonal polynomials, Witt vectors. Part 1, On the construction of permutations of a given type kept fixed by conjugation, The theory of compositionals, Compositional calculus

Cites Work

• \(\lambda\)-rings and the representation theory of the symmetric group
• On combinatorial differential equations
• On the generalized iterates of Yeh's combinatorial \({\mathbb{K}}\)-species
• Une nouvelle demonstration combinatoire des formules d'inversion de Lagrange
• Une théorie combinatoire des séries formelles
• p-solvable doubly transitive permutation groups
• The transitive groups of degree up to eleven⁺
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