Geometric Group Theory

2018 ◽  
Author(s):  
Cornelia Druţu ◽  
Michael Kapovich
Keyword(s):  
Group Theory ◽  
Geometric Group Theory

On geometric group theory

2021 ◽  
pp. 399-432
Author(s):  
Valentin Poénaru
Keyword(s):  
Group Theory ◽  
Geometric Group Theory

Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry

2008 ◽  
pp. 2337-2406
Author(s):  
Gerhard Knieper ◽  
Leonid Polterovich ◽  
Leonid Potyagailo
Keyword(s):  
Group Theory ◽  
Symplectic Geometry ◽  
Geometric Group Theory ◽  
Hyperbolic Dynamics

scholarly journals Quantitative nonlinear embeddings into Lebesgue sequence spaces

2016 ◽  
Vol 08 (01) ◽  
pp. 117-150
Author(s):  
Florent P. Baudier
Keyword(s):  
Group Theory ◽  
Positive Solution ◽  
Metric Spaces ◽  
Exact Formula ◽  
Geometric Group Theory ◽  
Sequence Spaces ◽  
Text Compression ◽  
Property A ◽  
Locally Compact ◽  
Strong Embeddability

In this paper fundamental nonlinear geometries of Lebesgue sequence spaces are studied in their quantitative aspects. Applications of this work are a positive solution to the strong embeddability problem from [Formula: see text] into [Formula: see text] ([Formula: see text]) and new insights on the coarse embeddability problem from [Formula: see text] into [Formula: see text], [Formula: see text]. Relevant to geometric group theory purposes, the exact [Formula: see text]-compression of [Formula: see text] is computed. Finally coarse deformation of metric spaces with property A and locally compact amenable groups is investigated.

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