Name
Abstract | ||
|---|---|---|
Let G be a group and X be a G-space with the action G x X -> X, (g, x) bar right arrow gx. A subset F of X is called a kaleidoscopical configuration if there exists a coloring chi : X -> C such that the restriction of chi on each subset gF, g is an element of G, is a bijection. We present a construction (called the splitting construction) of kaleidoscopical configurations in an arbitrary G-space, reduce the problem of characterization of kaleidoscopical configurations in a finite Abelian group G to a factorization of G into two subsets, and describe all kaleidoscopical configurations in isometrically homogeneous ultrametric spaces with finite distance scale. Also we construct 2(c) (unsplittable) kaleidoscopical configurations of cardinality c in the Euclidean space R-n. |
Year | Venue | Keywords |
|---|---|---|
2012 | ELECTRONIC JOURNAL OF COMBINATORICS | abelian group,distance scale,group theory,euclidean space,cyclic group |
Field | DocType | Volume |
Prime (order theory),Discrete mathematics,Abelian group,Combinatorics,Bijection,Cyclic group,Euclidean space,Factorization,Ultrametric space,Mathematics,Surjective function | Journal | 19 |
Issue | ISSN | Citations |
1.0 | 1077-8926 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Taras O. Banakh | 1 | 9 | 7.24 |
| Oleksandr Petrenko | 2 | 0 | 1.01 |
| Igor Protasov | 3 | 0 | 2.70 |
| Sergiy Slobodianiuk | 4 | 0 | 1.01 |