Submission date: 8 June 2022

Abstract:

Within the field of Laurent series with rational coefficients, those series representing rational functions can be characterised via linear recurrence relations of their coefficients. Inspired by this result, we establish a notion of generalised linear recurrence relations for fields of generalised power series. We study distinguished Hahn fields that are determined by generalised linear recurrence relations and apply our results to the study of automorphism groups of such fields.

Mathematics Subject Classification: 13J05 (12J20 16W60 06F20)

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Full text arXiv 2206.04126: pdf, ps.