On modular homology in the Boolean algebra. III

DOI10.1006/jabr.2000.8683zbMath0992.16008OpenAlexW4212842565MaRDI QIDQ5949387

I. J. Siemons, Peter R. Jones

Publication date: 10 September 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2000.8683

zbMATH Keywords

group actionsfree modulesirreducible modulescomplexespermutation modulesBetti numbers\(k\)-subsetsBoolean algebras on finite setsboundary mapshomology theoryinclusion maps

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological methods in group theory (20J05)

Related Items (1)

Saturated simplicial complexes

Cites Work

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• On modular homology of simplicial complexes: Saturation
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• Tensor products and dimensions of simple modules for symmetric groups
• Some Applications of Quasi-Invertible Characters
• Spin Modules for Symmetric Groups
• Branching rules for two row partitions and applications to the inductive systems for symmetric groups
• On modular homology of simplicial complexes: Shellability

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