1. Constructing reducibly geometrically finite subgroups of the mapping class group
   2025/01/22 by Aougab, Tarik, Bray, Harrison, Dowdall, Spencer +3 · 2 citations
   #20F65 #20F67 #57K20 #57M60 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)
2. Short hierarchically hyperbolic groups I: uncountably many coarse median structures
   2024/10/11 by Giorgio Mangioni, Mangioni, Giorgio · 2 citations
   Mathematics · Physics and Astronomy · #20F36 (Secondary) #20F65 (Primary) 57K20 #20F67 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Group Theory (math.GR) #Nonlinear Waves and Solitons
3. 7-location, weak systolicity and isoperimetry
   2024/09/01 by Hoda, Nima, Lazăr, Ioana-Claudia · 1 citation
   #20F65 #20F67 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)
4. Embedding Partial HNN Extensions In Ascending HNN Extensions
   2024/08/01 by Chong, Hip Kuen, Wise, Daniel T. · 2 citations
   #20E06 #20F06 #20F67 #FOS: Mathematics #Group Theory (math.GR)
5. Growth tightness and genericity for word metrics from injective spaces
   2024/07/02 by Ding, Lihuang, Dídac Martínez‐Granado, Martínez-Granado, Dídac +2 · 1 citation
   Computer Science · #20F67 #57M60 #FOS: Mathematics #Geometric Topology (math.GT) #Logic, programming, and type systems #Natural Language Processing Techniques #Topic Modeling
6. Drilling hyperbolic groups
   2024/06/20 by Daniel Groves, Groves, Daniel, Peter Haı̈ssinsky +9 · 1 citation
   Mathematics · #20F65 #20F67 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals
7. Confined subgroups in groups with contracting elements
   2024/05/15 by Inhyeok Choi, Choi, Inhyeok, Ilya Gekhtman +5 · 2 citations
   Mathematics · #20F65 #20F67 #20F69 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR)
8. Genericity of sublinearly Morse directions in general metric spaces
   2024/04/29 by Yulan Qing, Qing, Yulan, Wenyuan Yang +1 · 1 citation
   Engineering · Mathematics · #20F65 #20F67 #Advanced Numerical Analysis Techniques #Advanced Topology and Set Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Group Theory (math.GR)
9. Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing
   2024/03/21 by Benjamin Delarue, Daniel Monclair, Delarue, Benjamin +3 · 1 citation
   Computer Science · Mathematics · #20F67 #37D20 #53A20 #53C30 #Computability, Logic, AI Algorithms #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Mathematical Dynamics and Fractals #advanced mathematical theories
10. Fractional distortion in hyperbolic groups
    2024/03/13 by Pallavi Dani, Dani, Pallavi, Timothy B. Riley +1 · 1 citation
    Mathematics · #20F65 #20F67 #FOS: Mathematics #Group Theory (math.GR) #Mathematical functions and polynomials #Numerical methods in inverse problems
11. Frattini subgroups of hyperbolic-like groups
    2024/02/07 by Gil Goffer, Denis Osin, Goffer, Gil +3 · 1 citation
    Mathematics · #20F65 #20F67 #20F69 #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Mathematics and Applications
12. Homeomorphism types of Floyd boundaries of infinite-ended groups
    2023/12/30 by Chakraborty, Subhajit, Tomar, Ravi · 1 citation
    #20F65 #20F67 #FOS: Mathematics #Group Theory (math.GR)
13. On a Theorem by Lin and Shinder through the Lens of Median Geometry
    2023/12/08 by Genevois, Anthony, Lonjou, Anne, Urech, Christian · 1 citation
    #14E07 #20F65 #20F67 #Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR)
14. (Non-)Recognizing Spaces for Stable Subgroups
    2023/11/26 by Sahana Balasubramanya, Marissa Chesser, Balasubramanya, Sahana +7 · 2 citations
    Mathematics · #20F65 #20F67 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Group Theory (math.GR)
15. Automorphisms of relatively hyperbolic groups and the Farrell--Jones Conjecture
    2023/11/23 by Andrew, Naomi, Guerch, Yassine, Hughes, Sam · 1 citation
    #18F25 (Primary) 20F28 #20E08 (Secondary) #20F65 #20F67 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #K-Theory and Homology (math.KT)
16. Hyperbolic groups satisfy the Boone-Higman conjecture
    2023/09/12 by Belk, James, Bleak, Collin, Matucci, Francesco +1 · 3 citations
    #20E32 #20F10 #20F65 #20F67 #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR)
17. Progress around the Boone-Higman Conjecture
    2023/06/28 by James Belk, Collin Bleak, Belk, James +5 · 1 citation
    Computer Science · Mathematics · #01A65 #20-03 #20E32 #20F10 #20F65 #20F67 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #semigroups and automata theory
18. Relative hyperbolicity, thickness, and the hierarchically hyperbolic boundary
    2023/05/26 by Abbott, Carolyn, Behrstock, Jason, Russell, Jacob · 1 citation
    #20F65 #20F67 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)
19. Rationality of the Gromov Boundary of Hyperbolic Groups
    2023/03/17 by Davide Perego, Perego, Davide · 2 citations
    Mathematics · #20F65 (Primary) #20F67 #51F99 #68Q70 (Secondary) #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Metric Geometry (math.MG)
20. Rotation groups, mediangle graphs, and periagroups: a unified point of view on Coxeter groups and graph products of groups
    2022/12/13 by Anthony Genevois, Genevois, Anthony · 1 citation
    Computer Science · Mathematics · #05C25 #20F65 #20F67 #Advanced Combinatorial Mathematics #Advanced Graph Theory Research #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Graph theory and applications #Group Theory (math.GR) #Metric Geometry (math.MG)
21. Hyperfiniteness of boundary actions of relatively hyperbolic groups
    2022/12/01 by Karpinski, Chris · 2 citations
    #03E15 #20F65 #20F67 #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO)
22. Parabolic subgroups of complex braid groups
    2022/08/25 by González-Meneses, Juan, Marin, Ivan · 1 citation
    #20F36 #20F55 #20F65 #20F67 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Representation Theory (math.RT)
23. Structure invariant properties of the hierarchically hyperbolic boundary
    2022/08/16 by Abbott, Carolyn, Behrstock, Jason, Russell, Jacob · 1 citation
    #20F65 #20F67 #20F69 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)
24. Equivariant hierarchically hyperbolic structures for 3-manifold groups via quasimorphisms
    2022/06/24 by M. Hagen, Jacob A. Russell, Hagen, Mark +5 · 1 citation
    Mathematics · #20E08 #20F65 #20F67 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals
25. Local connectedness of boundaries for relatively hyperbolic groups
    2022/04/05 by Dasgupta, Ashani, Hruska, G. Christopher · 1 citation
    #20F65 #20F67 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)
26. Trees of hyperbolic spaces
    2022/02/19 by Kapovich, Michael, Sardar, Pranab · 3 citations
    #20F67 #51F30 #FOS: Mathematics #Group Theory (math.GR)
27. Locally elliptic actions, torsion groups, and nonpositively curved spaces
    2021/10/24 by Haettel, Thomas, Osajda, Damian · 1 citation
    #05C25 #20F65 #20F67 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Metric Geometry (math.MG)
28. Cyclic hyperbolicity in CAT(0) cube complexes
    2021/09/15 by Anthony Genevois, Genevois, Anthony · 1 citation
    Mathematics · #20F65 #20F67 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Metric Geometry (math.MG)
29. Extra-large type Artin groups are hierarchically hyperbolic
    2021/09/09 by Hagen, Mark, Martin, Alexandre, Sisto, Alessandro · 2 citations
    #20F36 #20F65 #20F67 #FOS: Mathematics #Group Theory (math.GR)
30. Complexity of word problems for HNN-extensions
    2021/07/04 by Markus Lohrey, Lohrey, Markus · 1 citation
    Computer Science · Mathematics · #20F10 #20F67 #Algorithms and Data Compression #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #semigroups and automata theory

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