The Action of some Subgroups of Symmetric Group S 3n on An Invariant Markov basis

2nd International Scientific Conference (Pure Sciences, Brilliant Creativity and Renewed Building)

Mohammed Hussein, Hussein S.^1 ; Majeed, Abdulrahman H.^1

Department of Mathematics, College of Science, University of Baghdad, Iraq^1

关键词: action;    Contingency table;    Markov basis;    Symmetric groups;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/571/1/012011/pdf
DOI  :  10.1088/1757-899X/571/1/012011

来源: IOP

【 摘 要 】

In this paper, we will find some subgroups H-1 and H-2 of symmetric group S3n, 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.