For Which Finite Groups G is the Lattice ℒ(G) of Subgroups Gorenstein?

DOI10.1017/S0027763000000805zbMath0589.06002MaRDI QIDQ3717099

Takayuki Hibi

Publication date: 1987

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Stanley-Reisner ringfinite partially ordered setlattice of subgroups of a finite group

Mathematics Subject Classification ID

Partial orders, general (06A06) Series and lattices of subgroups (20D30) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Semimodular lattices, geometric lattices (06C10)

Related Items (1)

Canonical ideals of Cohen-Macaulay partially ordered sets

Cites Work

• Cohen-Macaulay ordered sets
• Cohen-Macaulay quotients of polynomial rings
• Supersolvable lattices

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