Results of symmetric groups Sn (n7) acting on unordered triples and ordered quadruples

African Journal of Mathematics and Computer Science Research

Stephen Kipkemoi Kibet¹ 

关键词: Cycles;    | Fix (g) |;    Lemma.;   

DOI  :  10.5897/AJMCSR12.007

学科分类：计算机科学（综合）

来源: Academic Journals

【 摘 要 】

In this paper, we examined the results of fixed point set of symmetric groups Sn(n≤7) acting on X(3)and X[4]. In order to find the fixed point set| fix (g) | of these permutation groups, we used the method developed by Higman (1970) to compute the number of orbits, ranks and sub degrees of these actions. The results were used to find the number of orbits as proposed by Harary (1969) in Cauchy-Frobenius Lemma and hence deduce transitivity.

【 授权许可】

CC BY