Diophantine geometry over groups III: Rigid and solid solutions

By Z. Sela. 2005

58 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/081582591b2e2ed732dda86ba5ab9d7aa4dc3f7b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Alexei G. Myasnikov
2. Olga Kharlampovich
3. Henry Wilton
4. Z. Sela
5. Vincent Guirardel
6. D. Groves
7. Abderezak Ould Houcine
8. Franccois Dahmani

In Mathematical Physics

1. Alexei G. Myasnikov
2. Olga Kharlampovich
3. Henry Wilton
4. Z. Sela
5. Vincent Guirardel
6. D. Groves
7. Abderezak Ould Houcine
8. Gilbert Levitt

Citations in the corpus

• Diophantine geometry over groups VI: the elementary theory of a free group (2006, methodology): “Since by section 3 of [ Se3 ] it is possible to stratify the base of such a bundle, and the existence of a witness for a given specialization of the defining parameters depends only on the stratum (and not on the specific specialization), the set EAE is the union of finitely many strata in the strat”
• Hall’s Theorem for Limit Groups (2006, background): “In [20, 21, 23 , 22, 24, 26, 25], Zlil Sela solved a famous problem of Alfred Tarski by classifying the elementarily free groups, those limit groups with the same elementary theory as a free group.”
• Elementary theory of free non-abelian groups (2006, methodology): “While this paper was going through the refereeing and revision, another proof of the first theorem, due to Sela, appeared in a series of preprints [28–33].”