Restricted Permutation Symmetry and Hypotheses — Generating Groups in Statistics

Author(s):  
Rashid Ahmad ◽  
Magnus M. Peterson
1966 ◽  
Vol 149 (4) ◽  
pp. 1264-1268 ◽  
Author(s):  
K. Tanaka

Author(s):  
You Li ◽  
Jingmin Liu ◽  
Jiarui Li ◽  
Yu Zhai ◽  
Ji-Tai Yang ◽  
...  

Author(s):  
H. K. Farahat ◽  
L. Mirsky

Let be a free additive abelian group, and let be a basis of , so that every element of can be expressed in a unique way as a (finite) linear combination with integral coefficients of elements of . We shall be concerned with the ring of endomorphisms of , the sum and product of the endomorphisms φ, χ being defined, in the usual manner, by the equationsA permutation of a set will be called restricted if it moves only a finite number of elements. We call an endomorphism of a permutation endomorphism if it induces a restricted permutation of the basis .


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