6 citations · 11 across the 15 of their papers we have counts for
19 papers
The Addition Theorem for the Algebraic Entropy of Nilpotent Groups
Menachem Shlossberg
The Addition Theorem for the algebraic entropy of group endomorphisms was first proved for torsion abelian groups by Dikranjan, Goldsmith, Salce and Zanardo, and was later extended…
Non-archimedean topological monoids
Michael Megrelishvili, Menachem Shlossberg
We say that a topological monoid is left non-archimedean (in short: l-NA) if the left action of on itself admits a proper -compactification …
Minimality of the inner automorphism group
Dekui Peng, Menachem Shlossberg
By [6], a minimal group is called -minimal if is minimal. In this paper, we present the -Minimality Criterion for dense subgroups with some applications to topol…
Key subgroups in topological groups
Michael Megrelishvili, Menachem Shlossberg
We introduce two minimality properties of subgroups in topological groups. A subgroup is a key subgroup (co-key subgroup) of a topological group if there is no strictly coa…
Minimality conditions equivalent to the finitude of Fermat and Mersenne primes
Menachem Shlossberg
It is still open whether there exist infinitely many Fermat primes or infinitely many composite Fermat numbers. The same question concerning the Mersenne numbers is also unsolved.…
The Addition theorem for two-step nilpotent torsion groups
Menachem Shlossberg
The Addition Theorem for the algebraic entropy of group endomorphisms of torsion abelian groups was proved in [4]. Later, this result was extended to all abelian groups [3] and, re…