The characters of the wreath product group acting on the homology groups of the Dowling lattices

DOI10.1016/0021-8693(84)90113-3zbMath0557.20009OpenAlexW1992296692MaRDI QIDQ762262

Philip J. Hanlon

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90113-3

zbMATH Keywords

representationshomology groupgroup of automorphismswreath productDowling lattice

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Homological methods in group theory (20J05)

Related Items

Eigenspace arrangements of reflection groups, Geometric representations of finite groups on real toric spaces, Topology of eigenspace posets for imprimitive reflection groups, THE SYMMETRIC GROUP REPRESENTATION ON COHOMOLOGY OF THE REGULAR ELEMENTS OF A MAXIMAL TORUS OF THE SPECIAL LINEAR GROUP, Bases for certain cohomology representations of the symmetric group., A multiple character sum evaluation, The \(h,k\)-equal partition lattice is EL-shellable when \(h \geq k\), Cohomology of Dowling lattices and Lie (super)algebras

Cites Work

• Unnamed Item
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• The fixed-point partition lattices
• Signed graph coloring
• Some aspects of groups acting on finite posets
• A class of geometric lattices based on finite groups
• The Möbius function of a lattice
• Fixed points in partially ordered sets