Combinatorial congruences from \(p\)-subgroups of the symmetric group

DOI10.1007/BF02988317zbMath0784.05010OpenAlexW2048044292MaRDI QIDQ687729

John Howard Smith

Publication date: 28 October 1993

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02988317

zbMATH Keywords

Stirling numbers\(p\)-subgroupssymmetric groupspinningderiving congruences from group actionwheel system

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Other combinatorial number theory (11B75) Congruences in many variables (11D79) Congruences; primitive roots; residue systems (11A07) Subgroups of symmetric groups (20B35)

Cites Work

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• Two \(p^ 3\) variations of Lucas' theorem
• Lucas' theorem for prime powers
• Congruences via Abelian groups
• Congruences derived from group action
• A binomial coefficient congruence modulo prime powers
• Some Congruences for Generalized Euler Numbers
• Computing Binomial Coefficients

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