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» Designs and Representation of the Symmetric Group
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DCC
2008
IEEE
14 years 8 months ago
Distorting symmetric designs
A simple replacement approach is used to construct new symmetric and affine designs from projective or affine spaces. This is used to construct symmetric designs with a given autom...
Ulrich Dempwolff, William M. Kantor
COMBINATORICS
2002
107views more  COMBINATORICS 2002»
13 years 8 months ago
Combinatorial Laplacian of the Matching Complex
A striking result of Bouc gives the decomposition of the representation of the symmetric group on the homology of the matching complex into irreducibles that are self-conjugate. We...
Xun Dong, Michelle L. Wachs
ECCC
2010
89views more  ECCC 2010»
13 years 8 months ago
Lower bounds for designs in symmetric spaces
A design is a finite set of points in a space on which every "simple" functions averages to its global mean. Illustrative examples of simple functions are low-degree pol...
Noa Eidelstein, Alex Samorodnitsky
EJC
2007
13 years 8 months ago
Symmetric functions, generalized blocks, and permutations with restricted cycle structure
We present various techniques to count proportions of permutations with restricted cycle structure in finite permutation groups. For example, we show how a generalized block theo...
Attila Maróti
CORR
2008
Springer
116views Education» more  CORR 2008»
13 years 8 months ago
Group representation design of digital signals and sequences
In this survey a novel system, called the oscillator system, consisting of order of p3 functions (signals) on the finite field Fp, is described and studied. The new functions are p...
Shamgar Gurevich, Ronny Hadani, Nir A. Sochen