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arXiv · 2611.07224

Extending a property of vector spaces to abelian groups

Alexandru-Nicolae Obreja·Marius Tărnăuceanu
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Abstract

In this note, we determine the finite abelian groups $G$ such that for every subgroup $H\leq G$ there exists an automorphism $f\in{\rm Aut}(G)$ with ${\rm Fix}(f)=H$. This provides a partial answer to a problem posed by Deaconescu and Walls. Two generalizations of this problem are also proposed.

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Alexandru-Nicolae Obreja, Marius Tărnăuceanu. 2026-11-04. Extending a property of vector spaces to abelian groups. https://arxiv.org/abs/2611.07224

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