Some finite abelian group theory and some \(q\)-series identities

DOI10.1007/S00026-016-0299-8zbMath1405.11020arXiv1405.5824OpenAlexW3099074225MaRDI QIDQ295292

Derek Garton

Publication date: 13 June 2016

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

Full work available at URL: https://arxiv.org/abs/1405.5824

zbMATH Keywords

\(q\)-seriesposetsfinite abelian groups

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Finite abelian groups (20K01)

Related Items (2)

A weighted Möbius function ⋮ Moments and interpretations of the Cohen-Lenstra-Martinet heuristics

Cites Work

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• Cohen-Lenstra heuristic and roots of unity
• Averages of groups involving \(p^{\ell}\)-rank and combinatorial identities
• Random matrices, the Cohen-Lenstra heuristics, and roots of unity
• A weighted Möbius function
• \(p^\ell\)-torsion points in finite abelian groups and combinatorial identities
• On the Distribution of Class Groups of Number Fields
• Random maximal isotropic subspaces and Selmer groups
• The Cohen–Lenstra heuristics, moments and p^j-ranks of some groups

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