On graphs and valuations.
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Publication:2017734
DOI10.1007/s00229-014-0699-1zbMath1320.16022arXiv1401.8213OpenAlexW2964147019MaRDI QIDQ2017734
Ido Efrat, Andrei S. Rapinchuk, Yoav Segev
Publication date: 23 March 2015
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.8213
Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60) Higher symbols, Milnor (K)-theory (19D45) Valued fields (12J10)
Cites Work
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- Anisotropic groups of type \(A_n\) and the commuting graph of finite simple groups.
- Valuations and diameters of Milnor \(K\)-rings
- The Margulis-Platonov conjecture for \(\text{SL}_{1,D}\) and 2-generation of finite simple groups.
- Reconstruction of function fields
- Rigid elements, valuations, and realization of Witt rings
- On the structure of Pythagorean fields
- Fans, real valuations, and hereditarily-Pythagorean fields
- On finite homomorphic images of the multiplicative group of a division algebra
- Non-commutative valuation rings and semi-hereditary orders
- Normal subgroups of \(SL_{1,D}\) and the classification of finite simple groups
- Construction of valuations from \(K\)-theory
- Commuting-liftable subgroups of Galois groups. II
- Valuation theory
- Introduction to birational anabelian geometry
- Valuation Rings and Rigid Elements in Fields
- A New Construction of Noncrossed Product Algebras
- Multiplicative Subgroups of Finite Index in a Ring
- Zentrale Erweiterungen der speziellen linearen Gruppe eines Schiefkörpers.
- Summen n-ter Potenzen in Körpern.
- Multiplicative Subgroups of Finite Index in a Division Ring
- A.D. Alexandrov spaces with curvature bounded below
- An Approximation Theorem for Coarse V-Topologies on Rings
- Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable
- From p-rigid elements to valuations (with a Galois-characterization of p-adic fields).
- Brauer Group Analogues of Results Relating the Witt Ring to Valuations and Galois Theory
- Compatible valuations and generalized Milnor 𝐾-theory
- Galois Theory and Projective Geometry
- Valued Fields
- On \(K_2\) of finite dimensional division algebras over arithmetical fields
- Valuation-like maps and the congruence subgroup property
- The commuting graph of minimal nonsolvable groups
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