Cycle indices and subgroup lattices

DOI10.1016/0012-365X(93)90060-7zbMath0789.05096MaRDI QIDQ685578

Christopher D. Wensley, Ifor Morris

Publication date: 24 May 1994

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite groupwreath productcycle indexincidence algebrasubgroup latticesubstitution formulacycle index polynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30)

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Cites Work

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• Adams operations and \(\lambda\)-operations in \(\beta\)-rings
• A generalization of Burnside's combinatorial lemma
• Counting with groups and rings.
• Counting Patterns with a Given Automorphism Group
• Combinatorial Structures and Group Invariant Partitions
• λ-Operations in β-rings
• Pólya's Counting Theorem and a Class of Tensor Identities
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]