Strong Sperner property of the subgroup lattice of an Abelian \(p\)-group

DOI10.1007/BF02878435zbMath0970.06005OpenAlexW1573176904MaRDI QIDQ1589772

Jun Wang, Yi Wang

Publication date: 12 December 2000

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02878435

zbMATH Keywords

graded posetsubgroup latticestrong Sperner propertyAbelian \(p\)-group

Mathematics Subject Classification ID

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

Cites Work

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• On chains and Sperner k-families in ranked posets
• Some applications of algebra to combinatorics
• Proof of a conjecture on the Sperner property of the subgroup lattice of an Abelian \(p\)-group
• Matchings, cutsets, and chain partitions in graded posets
• Maximal sized antichains in partial orders
• A Unimodality Result in the Enumeration of Subgroups of a Finite Abelian Group
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property

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