Congruences derived from group action

DOI10.1016/S0195-6698(80)80024-2zbMath0453.05008OpenAlexW2068760380MaRDI QIDQ1148910

Gian-Carlo Rota, Bruce E. Sagan

Publication date: 1980

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(80)80024-2

zbMATH Keywords

partitionsMöbius functionenumerationpermutation grouplattices of subgroupsEuler functionsunlabeled combinatorial objects

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19)

Related Items

On a generalization of index series of species ⋮ On the Möbius number of the subgroup lattice of the symmetric group ⋮ A Lucas-type congruence for \(q\)-Delannoy numbers ⋮ On asymmetric structures ⋮ Congruence properties of \(q\)-analogs ⋮ Counting asymmetric enriched trees ⋮ Combinatorial congruences from \(p\)-subgroups of the symmetric group ⋮ On the symmetry and asymmetry of combinatorial structures ⋮ A \(q\)-analogue of Wilson's congruence ⋮ The lower \(p\)-central series of a free profinite group and the shuffle algebra ⋮ Congruences via Abelian groups ⋮ Enumeration with the lattice of periods

Cites Work

• Unnamed Item
• Congruences via Abelian groups
• Supersolvable lattices
• Baxter algebras and combinatorial identities. II
• A Contribution to the Theory of Groups of Prime-Power Order
• The Burnside algebra of a finite group
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]