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  1. Journal of Algebraic Combinatorics
  2. Journal of Algebraic Combinatorics : Volume 34
  3. Journal of Algebraic Combinatorics : Volume 34, Issue 3, November 2011
  4. Set families and Foulkes modules
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Journal of Algebraic Combinatorics : Volume 45
Journal of Algebraic Combinatorics : Volume 44
Journal of Algebraic Combinatorics : Volume 43
Journal of Algebraic Combinatorics : Volume 42
Journal of Algebraic Combinatorics : Volume 41
Journal of Algebraic Combinatorics : Volume 40
Journal of Algebraic Combinatorics : Volume 39
Journal of Algebraic Combinatorics : Volume 38
Journal of Algebraic Combinatorics : Volume 37
Journal of Algebraic Combinatorics : Volume 36
Journal of Algebraic Combinatorics : Volume 35
Journal of Algebraic Combinatorics : Volume 34
Journal of Algebraic Combinatorics : Volume 34, Issue 4, December 2011
Journal of Algebraic Combinatorics : Volume 34, Issue 3, November 2011
Elementary abelian p-groups of rank 2p+3 are not CI-groups
Kakeya-type sets in finite vector spaces
A Higman inequality for regular near polygons
Koszulness, Krull dimension, and other properties of graph-related algebras
The Isaacs–Navarro conjecture for covering groups of the symmetric and alternating groups in odd characteristic
A plactic algebra of extremal weight crystals and the Cauchy identity for Schur operators
Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras
Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type A $_{n}$
Set families and Foulkes modules
Journal of Algebraic Combinatorics : Volume 34, Issue 2, September 2011
Journal of Algebraic Combinatorics : Volume 34, Issue 1, August 2011
Journal of Algebraic Combinatorics : Volume 33
Journal of Algebraic Combinatorics : Volume 32
Journal of Algebraic Combinatorics : Volume 31
Journal of Algebraic Combinatorics : Volume 30
Journal of Algebraic Combinatorics : Volume 29
Journal of Algebraic Combinatorics : Volume 28
Journal of Algebraic Combinatorics : Volume 27
Journal of Algebraic Combinatorics : Volume 26
Journal of Algebraic Combinatorics : Volume 25
Journal of Algebraic Combinatorics : Volume 24
Journal of Algebraic Combinatorics : Volume 23
Journal of Algebraic Combinatorics : Volume 22
Journal of Algebraic Combinatorics : Volume 21
Journal of Algebraic Combinatorics : Volume 20
Journal of Algebraic Combinatorics : Volume 19
Journal of Algebraic Combinatorics : Volume 18
Journal of Algebraic Combinatorics : Volume 17
Journal of Algebraic Combinatorics : Volume 16
Journal of Algebraic Combinatorics : Volume 15
Journal of Algebraic Combinatorics : Volume 14
Journal of Algebraic Combinatorics : Volume 13
Journal of Algebraic Combinatorics : Volume 12
Journal of Algebraic Combinatorics : Volume 11
Journal of Algebraic Combinatorics : Volume 10
Journal of Algebraic Combinatorics : Volume 9
Journal of Algebraic Combinatorics : Volume 8
Journal of Algebraic Combinatorics : Volume 7
Journal of Algebraic Combinatorics : Volume 6

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Set families and Foulkes modules

Content Provider Springer Nature Link
Author Paget, Rowena Wildon, Mark
Copyright Year 2011
Abstract We construct a new family of homomorphisms from Specht modules into Foulkes modules for the symmetric group. These homomorphisms are used to give a combinatorial description of the minimal partitions (in the dominance order) which label the irreducible characters appearing as summands of the characters of Foulkes modules. The homomorphisms are defined using certain families of subsets of the natural numbers. These families are of independent interest; we prove a number of combinatorial results concerning them.
Starting Page 525
Ending Page 544
Page Count 20
File Format PDF
ISSN 09259899
Journal Journal of Algebraic Combinatorics
Volume Number 34
Issue Number 3
e-ISSN 15729192
Language English
Publisher Springer US
Publisher Date 2011-04-21
Publisher Place Boston
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Foulkes’ conjecture Specht module Foulkes module Module homomorphism Closed set family Group Theory and Generalizations Combinatorics Computer Science Order, Lattices, Ordered Algebraic Structures Convex and Discrete Geometry
Content Type Text
Resource Type Article
Subject Discrete Mathematics and Combinatorics Algebra and Number Theory
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