Proof of a conjecture on the Sperner property of the subgroup lattice of an Abelian \(p\)-group

DOI10.1007/BF01626030zbMath0921.06002OpenAlexW1967619951WikidataQ122922611 ScholiaQ122922611MaRDI QIDQ1272363

Jun Wang

Publication date: 18 May 1999

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

Full work available at URL: https://doi.org/10.1007/bf01626030

zbMATH Keywords

antichainquotientSperner propertysubgroup latticeabelian \(p\)-group

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Combinatorics of partially ordered sets (06A07) Extremal set theory (05D05)

Related Items (3)

Submodule codes as spherical codes in buildings ⋮ \(q\)-weighted log-concavity and \(q\)-product theorem on the normality of posets ⋮ Strong Sperner property of the subgroup lattice of an Abelian \(p\)-group

Cites Work

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• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• Subgroups of Abelian Groups
• A short proof of Sperner's lemma
• The structure of Sperner k-families

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