Menachem Shlossberg

collaborators

4 papers

math.GR2026

The Addition Theorem for the Algebraic Entropy of Torsion Nilpotent Groups

Menachem Shlossberg

The Addition Theorem for the algebraic entropy of group endomorphisms of torsion abelian groups was proved by Dikranjan, Goldsmith, Salce and Zanardo. It was later extended by Shlo…

math.GN2024

Key subgroups in topological groups

Michael Megrelishvili, Menachem Shlossberg

We introduce two minimality properties of subgroups in topological groups. A subgroup $H$ is a key subgroup (co-key subgroup) of a topological group $G$ if there is no strictly coa…

math.GN2024

Minimality of the inner automorphism group

Dekui Peng, Menachem Shlossberg

By [6], a minimal group $G$ is called $z$ -minimal if $G / Z (G)$ is minimal. In this paper, we present the $z$ -Minimality Criterion for dense subgroups with some applications to topol…

math.GN2024

Non-archimedean topological monoids

Michael Megrelishvili, Menachem Shlossberg

We say that a topological monoid $S$ is left non-archimedean (in short: l-NA) if the left action of $S$ on itself admits a proper $S$ -compactification $Î½\colon S \hookrightarrow Y…