Open AccessThe Action of some Subgroups of Symmetric Group S 3n on An Invariant Markov basis
Author(s) -
Hussein S. Mohammed Hussein,
Abdulrahman H. Majeed
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/571/1/012011
Subject(s) - contingency table , markov chain , mathematics , invariant (physics) , contingency , basis (linear algebra) , group (periodic table) , combinatorics , action (physics) , symmetric group , markov process , markov model , discrete mathematics , pure mathematics , statistics , physics , geometry , linguistics , mathematical physics , philosophy , quantum mechanics
In this paper, we will find some subgroups H_1 and H_2 of symmetric group S_3n, n∈N and n≥2, such that the Markov basis B is H invariant for (25n ^ 3-66n ^ 2+41n) ×3×n - contingency tables with fixed two dimensional marginal, where B is the Markov basis. We will get another 3×n - contingency tables have same the Markov basis B by using the action of H on these contingency tables.