Vol. 312, No. 2, 2021

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On the value group of the transseries

Alessandro Berarducci and Pietro Freni

Vol. 312 (2021), No. 2, 335–354
Abstract

We prove that the value group of the field of transseries is isomorphic to the additive reduct of the field.

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Keywords
transseries, surreal numbers, valued Fields
Mathematical Subject Classification
Primary: 16W60
Secondary: 03C64
Milestones
Received: 11 December 2020
Revised: 30 March 2021
Accepted: 5 April 2021
Published: 31 August 2021
Authors
Alessandro Berarducci
University of Pisa
Pisa
Italy
Pietro Freni
University of Leeds
Leeds
United Kingdom