Furkejuvvon:
| Váldodahkkit: | , |
|---|---|
| Materiálatiipa: | Preprint |
| Almmustuhtton: |
2023
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| Fáttát: | |
| Liŋkkat: | https://arxiv.org/abs/2302.06290 |
| Fáddágilkorat: |
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Sisdoallologahallan:
- 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.