Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered 4-Element and 5- Element Subsets
No Thumbnail Available
Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
UoEm
Abstract
Ranks and subdegrees can be computed using combinatorial arguments, the Cauchy-Frobenius lemma and use of
the concept of marks. However the concept of Marks has been given very little attention. In this paper we will
apply the concept of marks to compute the ranks and subdegrees of the symmetric group 𝑆𝑛(𝑛 = 7,8,9) acting
on ordered 4-element subsets and 𝑆𝑛 (𝑛 = 8,9,10) acting on ordered 5-element subsets .
Description
Keywords
Ranks, Subdegrees, Marks