On Self-Similar Subgroups in the Sense of IFS
In this paper, we first give several properties with respect to subgroups of self-similar groups in the sense of iterate function system (IFS). We then prove that some subgroups of p-adic numbers ℚp are strong self-similar in the sense of IFS.
Main Author: | Saltan Mustafa |
---|---|
Format: | Article |
Language: | English |
Published: |
Sciendo
2018-06-01
|
Series: | Communications in Mathematics |
Subjects: | |
Online Access: | https://doi.org/10.2478/cm-2018-0001 |
Similar Items
-
Geometry of Self-Similar Sets
by: Roinestad, Kristine A.
Published: (2014) -
Approximating fixed points of $$\left( \lambda ,\rho \right) $$ λ,ρ -firmly nonexpansive mappings in modular function spaces
by: Safeer Hussain Khan
Published: (2018-03-01) -
Minkowski Dimension and Explicit Tube Formulas for p-Adic Fractal Strings
by: Michel L. Lapidus, et al.
Published: (2018-10-01) -
Sampling and interpolation of cumulative distribution functions of Cantor sets in [0, 1]
by: Byars Allison, et al.
Published: (2021-05-01) -
Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases
by: Shaw, Vincent T.
Published: (2020)