Classifications of rearrangement mechanisms by means of double cosets and counting formulas for the numbers of classes

1973 ◽  
Vol 29 (3) ◽  
pp. 259-268 ◽  
Author(s):  
Werner H�sselbarth ◽  
Ernst Ruch
Keyword(s):  
Double Cosets

scholarly journals Statistical Enumeration of Groups by Double Cosets

2021 ◽  
Author(s):  
Persi Diaconis ◽  
Mackenzie Simper
Keyword(s):  
Double Cosets

scholarly journals Computing Double Cosets in Soluble Groups

2001 ◽  
Vol 31 (1-2) ◽  
pp. 179-192 ◽  
Author(s):  
Michael C. Slattery
Keyword(s):  
Soluble Groups ◽  
Double Cosets

scholarly journals On Classes of Local Unitary Transformations

2012 ◽  
Vol 19 (02) ◽  
pp. 283-292
Author(s):  
Naihuan Jing
Keyword(s):  
Homogeneous Spaces ◽  
Unitary Groups ◽  
Mixed States ◽  
Density Matrices ◽  
Double Cosets ◽  
Unitary Transformations ◽  
One To One ◽  
Local Unitary Invariance ◽  
Unitary Invariance

We give a one-to-one correspondence between classes of density matrices under local unitary invariance and the double cosets of unitary groups. We show that the interrelationship among classes of local unitary equivalent multi-partite mixed states is independent from the actual values of the eigenvalues and only depends on the multiplicities of the eigenvalues. The interpretation in terms of homogeneous spaces of unitary groups is also discussed.

On wreath product of n-polygroups

2015 ◽  
Vol 14 (04) ◽  
pp. 1550060 ◽  
Author(s):  
S. Mirvakili ◽  
M. Farshi ◽  
B. Davvaz
Keyword(s):  
Wreath Product ◽  
Idempotent Element ◽  
Double Cosets ◽  
Isomorphism Theorems

In this paper, we shall introduce thin n-subpolygroups of a given n-polygroup and in this regards, the notion of wreath product of n-polygroups will be studied. Also, double cosets of n-polygroups are investigated and the classical isomorphism theorems of groups are generalized to n-polygroups. The main result of the paper is that a finite n-polygroup is singular if and only if it is a wreath product of n-subpolygroups all of which are thin or generated by an involution or by an idempotent element.

scholarly journals Intersections of double cosets in algebraic groups

1992 ◽  
Vol 3 (1) ◽  
pp. 69-77 ◽  
Author(s):  
R.W. Richardson
Keyword(s):  
Algebraic Groups ◽  
Double Cosets
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