The automorphism group of a valued field of generalised formal power series
Salma Kuhlmann,
Michele Serra
Abstract:Let k be a field, G a totally ordered abelian group and K = k((G)) the maximal field of generalised power series, endowed with the canonical valuation v [Hah07]. We study the group v-Aut K of valuation preserving automorphisms of a subfield k(G) ⊆ K ⊆ K, where k(G) is the fraction field of the group ring k [G]. Under the assumption that K satisfies two lifting properties we are able to generalise and refine the decomposition of v-Aut K [Hof91] and prove a structure theorem decomposing v-Aut K into a 4-factor s… Show more
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