2 papers
math.GR2025
Limit groups with respect to Thompson's group and other hereditarily separating groups
Aleksander Ivanov, Roland Zarzycki
We prove that a limit group over Thompson's group cannot be an HNN-extension of with respect to a finitely generated subgroup. On the other hand we give an example of an $F…
math.GR2025
Groups which are metrically weakly sofic with respect to word norms
Aleksander Ivanov
We consider metric versions of weak soficity, LEF and residual finiteness. The main results of the paper extend Glebsky and Rivera's characterization of weak soficity to the case o…