The Algebra of Sets of Trees, k-Trees, and Other Configurations
β Scribed by Berger, I.; Nathan, A.
- Book ID
- 120254678
- Publisher
- Institute of Electrical and Electronics Engineers
- Year
- 1968
- Tongue
- English
- Weight
- 828 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0018-9324
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π SIMILAR VOLUMES
Let k be a field and let S n be the symmetric group. The group algebra k[S n ] contains the Solomon descent algebra, which is of dimension 2 n&1 . In [MR] Malvenuto and Reutenauer construct a graded Hopf algebra structure on so that the sum of the Solomon descent algebras There is a basis In betw
Let f be a continuous map of a tree X into itself. Let Q(j) denote the set of nonwandering points for f. In this paper we show the following two results: (1) if C?(f) is finite then Q(f) is the set of periodic points of f, (2) Q(f) IS contained in the closure of the set of eventually periodic points