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- W4320854523 abstract "Hahn groups endowed with the canonical valuation play a fundamental role in the classification of valued abelian groups. In this paper we study the group of valuation (respectively order) preserving automorphisms of a Hahn group $G$. Under the assumption that $G$ satisfies some lifting property, we prove a structure theorem decomposing the automorphism group into a semidirect product of two notable subgroups. We characterise a class of Hahn groups satisfying the aforementioned lifting property. For some special cases we provide a matrix description of the automorphism group." @default.
- W4320854523 created "2023-02-16" @default.
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- W4320854523 date "2023-02-13" @default.
- W4320854523 modified "2023-10-16" @default.
- W4320854523 title "Automorphisms of valued Hahn groups" @default.
- W4320854523 doi "https://doi.org/10.48550/arxiv.2302.06290" @default.
- W4320854523 hasPublicationYear "2023" @default.
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