Year: 2024
Type: article
Abstract: Given a topological 𝐺-space, we consider equations with constants over 𝐺. In particular, we formulate some very general conditions on words with constants w ( y ̄ , g ̄ ) w(\bar{y},\bar{g}) over 𝐺 which guarantee that the inequality w ( y ̄ , g ̄ ) ≠ 1 w(\bar{y},\bar{g})\neq 1 has a solution in 𝐺. These results are illustrated in some typical situations. In particular, standard actions of Thompson’s group 𝐹 and branch groups are considered.
Source: Journal of Group Theory
Authors: Aleksander Ivanov, Roland Zarzycki
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4405016076