The lattice of finite subspace partitions

DOI10.1016/j.disc.2012.01.015zbMath1238.51003OpenAlexW2009330064MaRDI QIDQ408191

Füsun Akman, Papa Amar Sissokho

Publication date: 29 March 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2012.01.015

zbMATH Keywords

latticeMöbius functionpartial \(t\)-spreadsubspace partitionvector space partition

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Finite partial geometries (general), nets, partial spreads (51E14) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Subspace partitions of \(\mathbb{F}_q^n\) containing direct sums. II: General case, Gaussian partitions, Subspace partitions of \(\mathbb{F}_q^n\) containing direct sums

Cites Work

• Partitions of finite Abelian groups
• Partitions of a vector space
• Partitions of finite vector spaces: an application of the Frobenius number in geometry
• Combinatorial theory.
• Partitions of finite vector spaces into subspaces
• Group Partition, Factorization and the Vector Covering Problem
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• Galois Connexions