A rigidity property for the set of all characters induced by valuations
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- by Robert Bieri and John R. J. Groves PDF
- Trans. Amer. Math. Soc. 294 (1986), 425-434 Request permission
Abstract:
If $K$ is a field and $G$ a finitely generated multiplicative subgroup of $K$ then every real valuation on $K$ induces a character $G \to {\mathbf {R}}$. It is known that the set $\Delta (G) \subseteq {{\mathbf {R}}^n}$ of all characters induced by valuations is polyhedral. We prove that $\Delta (G)$ satisfies a certain rigidity property and apply this to give a new and conceptual proof of the Brewster-Roseblade result [4] on the group of automorphisms of $K$ stabilizing $G$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 294 (1986), 425-434
- MSC: Primary 16A27; Secondary 12J20, 13A18
- DOI: https://doi.org/10.1090/S0002-9947-1986-0825713-6
- MathSciNet review: 825713