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math.LO2026
Invariant means, coset correct means and the Hahn-Banach Theorem
Armando Martino, Motiejus Valiunas
We show that, in ZF set theory, the existence of "coset correct means" on all groups is equivalent to the Hahn-Banach Theorem, as well as to the existence of invariant means on abe…
math.GR2026
Outer automorphisms of HNN extensions of abelian groups
Naomi Andrew, Sam Hughes, Motiejus Valiunas
Let be a commensurating HNN extension of a finitely generated free abelian group. We characterise when is finitely generated and derive structural information…