Unit subduced cycle indices for combinatorial enumeration
✍ Scribed by Shinsaku Fujita
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 802 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
Combinatorial enumeration by means of unit subduced cycle indices (USCIs) is discussed by using the group I (A~5~) and the related groups as examples. A modified method for the derivation of USCIs is presented, where a subduced mark table is a key concept. Several properties of USCIs are discussed by clarifying the relationship between double cosets and the subduction of coset representations, which gives an alternative formulation of the USCIs. This treatment provides us with a new prospect concerning the properties of double cosets. The usefulness of subduced cycle indices and cycle indices derived from USCIs is exemplified by enumeration based on an icosahedron.