2025, Vol. 6, Issue 2, Part C
Theoretical analysis of group transitivity in transformation groups
Author(s): Inas Yahya Abdullah and Wahhab Razzak Aubaid
Abstract: This paper sheds light on the transitivity property of set in topological spaces and topological transformation groups. The concept of transitivity has been further studied in the admissible set (syndetical set, semi-replete set- replete set, extended set). The paper also focused on studying the types of transitivity in topological transformation groups. It also presented relationship transitive with dynamic properties (fixed point - periodic point - almost periodic point - almost periodic point invariant point - minimal point) as it is a basic axis in the work. This undoubtedly required providing detailed proofs for abbreviated proofs and proofs of problems not established in the reference, in addition to the introduction of new definitions and theorems.
DOI: https://doi.org/10.22271/math.2025.v6.i2c.241
Pages: 477-480 | Views: 162 | Downloads: 37
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How to cite this article:
Inas Yahya Abdullah and Wahhab Razzak Aubaid. Theoretical analysis of group transitivity in transformation groups. Journal of Mathematical Problems, Equations and Statistics. 2025; 6(2): 477-480. DOI: 10.22271/math.2025.v6.i2c.241
