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PreprintarXiv licencearXiv

The group of strong automorphisms of the differential field of transseries

  • Matthias Aschenbrenner
  • Lou van den Dries
  • Joris van der Hoeven
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Abstract

We describe the group of strongly additive automorphisms of the differential field 𝕋 of transseries as a non-trivial semidirect product. We show that this group is torsion-free and has trivial center, and that many naturally arising differential subfields of 𝕋 are definably closed in 𝕋.

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Cite

BibTeXRIS
BibTeX
@misc{aschenbrenner2026group,
  title = {{The group of strong automorphisms of the differential field of transseries}},
  author = {Matthias Aschenbrenner and Lou van den Dries and Joris van der Hoeven},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.06520},
  eprint = {2611.06520},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.06520},
}
RIS
TY  - UNPB
TI  - The group of strong automorphisms of the differential field of transseries
AU  - Matthias Aschenbrenner
AU  - Lou van den Dries
AU  - Joris van der Hoeven
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.06520
UR  - https://arxiv.org/abs/2611.06520
AB  - We describe the group of strongly additive automorphisms of the differential field 𝕋 of transseries as a non-trivial semidirect product. We show that this group is torsion-free and has trivial center, and that many naturally arising differential subfields of 𝕋 are definably closed in 𝕋.
ER  -