Generators of the character tables of generalized wreath product groups

1990 ◽  
Vol 78 (1) ◽  
pp. 31-43 ◽  
Author(s):  
K. Balasubramanian
Keyword(s):  
Wreath Product ◽  
Character Tables ◽  
Generalized Wreath Product

Separable ultrametric spaces and their isometry groups

2014 ◽  
Vol 26 (6) ◽  
Author(s):  
Maciej Malicki
Keyword(s):  
Wreath Product ◽  
Isometry Group ◽  
Uniqueness Property ◽  
Isometry Groups ◽  
Ultrametric Spaces ◽  
Generalized Wreath Product ◽  
Group Construction

AbstractThe paper is devoted to a study of isometry groups of Polish ultrametric spaces. We explicitly describe isometry groups of spaces that are non-locally rigid and satisfy the property that distances between orbits under the action of the isometry group are realized by points. The type of group construction appearing here is a variant of the generalized wreath product. We prove that it has a natural universality and uniqueness property. As an application, we characterize Polish ultrametric spaces satisfying the above properties, whose isometry groups have uncountable strong cofinality.

scholarly journals Automorphism group of the variant of the lattice of partitions of a finite set

2020 ◽  
pp. 115-119
Author(s):  
O. G. Ganyushkin ◽  
O. O. Desiateryk
Keyword(s):  
Automorphism Group ◽  
Wreath Product ◽  
Direct Product ◽  
Automorphism Groups ◽  
Symmetric Groups ◽  
Natural Generalization ◽  
Generating Sets ◽  
Generalized Wreath Product ◽  
Finite Set

In this paper we consider variants of the lattice of partitions of a finite set and study automorphism groups of this variants. We obtain irreducible generating sets for of the lattice of partitions of a finite set. We prove that the automorphism group of the variant of the lattice of partitions of a finite set is a natural generalization of the wreath product. The first multiplier of this generalized wreath product is the direct product of the wreaths products, such that depends on the type of the variant generating partition and the second is defined by the certain set of symmetric groups.

scholarly journals CI-Property for Decomposable Schur Rings over an Abelian Group

2019 ◽  
Vol 26 (01) ◽  
pp. 147-160 ◽  
Author(s):  
István Kovács ◽  
Grigory Ryabov
Keyword(s):  
Finite Group ◽  
Abelian Group ◽  
Wreath Product ◽  
Direct Product ◽  
Elementary Abelian Group ◽  
Sufficient Condition ◽  
Schur Ring ◽  
Generalized Wreath Product ◽  
A Finite Group ◽  
Ci Property

A Schur ring over a finite group is said to be decomposable if it is the generalized wreath product of Schur rings over smaller groups. In this paper we establish a sufficient condition for a decomposable Schur ring over the direct product of elementary abelian groups to be a CI-Schur ring. By using this condition we offer short proofs for some known results on the CI-property for decomposable Schur rings over an elementary abelian group of rank at most 5.

On Commutator Length and Square Length of the Wreath Product of a Group by a Finitely Generated Abelian Group

2010 ◽  
Vol 17 (spec01) ◽  
pp. 799-802 ◽  
Author(s):  
Mehri Akhavan-Malayeri
Keyword(s):  
Abelian Group ◽  
Wreath Product ◽  
Finitely Generated ◽  
Commutator Length

Let W = G ≀ H be the wreath product of G by an n-generator abelian group H. We prove that every element of W′ is a product of at most n+2 commutators, and every element of W2 is a product of at most 3n+4 squares in W. This generalizes our previous result.

scholarly journals WREATH PRODUCTS, NILPOTENT ORBITS AND SYMPLECTIC DEFORMATIONS

2007 ◽  
Vol 18 (05) ◽  
pp. 473-481
Author(s):  
BAOHUA FU
Keyword(s):  
Wreath Product ◽  
Wreath Products ◽  
Nilpotent Orbit ◽  
Nilpotent Orbits ◽  
Symplectic Resolutions

We recover the wreath product X ≔ Sym 2(ℂ2/± 1) as a transversal slice to a nilpotent orbit in 𝔰𝔭6. By using deformations of Springer resolutions, we construct a symplectic deformation of symplectic resolutions of X.

Commutator Calculus for Wreath Product Groups

2015 ◽  
Vol 43 (5) ◽  
pp. 2152-2173
Author(s):  
Jeffrey M. Riedl
Keyword(s):  
Wreath Product
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