André, Simon; Guirardel, Vincent Finitely generated simple sharply \(2\)-transitive groups. (English) Zbl 07930318 Compos. Math. 160, No. 8, 1941-1957 (2024). MSC: 20B22 20F65 20F67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benli, Mustafa Gökhan; Kaya, Burak Descriptive complexity of subsets of the space of finitely generated groups. (English) Zbl 1525.20027 Expo. Math. 40, No. 4, 1116-1134 (2022). Reviewer: Luc Guyot (Genève) MSC: 20F05 20F65 20F50 03E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doucha, Michal; Gismatullin, Jakub On dual surjunctivity and applications. (English) Zbl 1510.37024 Groups Geom. Dyn. 16, No. 3, 943-961 (2022). Reviewer: Thomas B. Ward (Durham) MSC: 37B15 20E25 20C07 37C29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cotton, Michael R. Abelian group actions and hypersmooth equivalence relations. (English) Zbl 07538231 Ann. Pure Appl. Logic 173, No. 8, Article ID 103122, 26 p. (2022). MSC: 03E15 22B05 54H05 54H11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Samarakoon, Supun T. Generalized Grigorchuk’s overgroups as points in the space of marked 8-generated groups. (English) Zbl 07490539 J. Algebra Appl. 21, No. 3, Article ID 2250058, 19 p. (2022). MSC: 20E08 20F65 20F69 20F10 × Cite Format Result Cite Review PDF Full Text: DOI
Minasyan, A.; Osin, D.; Witzel, S. Quasi-isometric diversity of marked groups. (English) Zbl 1542.20210 J. Topol. 14, No. 2, 488-503 (2021). MSC: 20F69 20F65 03E15 03C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Osin, D. A topological zero-one law and elementary equivalence of finitely generated groups. (English) Zbl 1498.03085 Ann. Pure Appl. Logic 172, No. 3, Article ID 102915, 37 p. (2021). MSC: 03C60 20F65 20F67 20F05 03E15 03C75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Lodha, Yash Approximating nonabelian free groups by groups of homeomorphisms of the real line. (English) Zbl 1441.43001 J. Algebra 563, 292-302 (2020). MSC: 43A07 20F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skipper, Rachel; Wesolek, Phillip On the Cantor-Bendixson rank of the Grigorchuk group and the Gupta-Sidki 3 group. (English) Zbl 1457.20026 J. Algebra 555, 386-405 (2020). Reviewer: Luc Guyot (Genève) MSC: 20E08 20E18 20E07 20E26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coulon, Rémi; Guirardel, Vincent Automorphisms and endomorphisms of lacunary hyperbolic groups. (English) Zbl 1496.20072 Groups Geom. Dyn. 13, No. 1, 131-148 (2019). MSC: 20F67 20F65 20E08 20E36 20F06 20F28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martineau, Sébastien Locally infinite graphs and symmetries. (English) Zbl 1497.05192 Grad. J. Math. 2, No. 2, 42-50 (2017). MSC: 05C63 05C12 05C10 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Thomas, Simon; Williams, Jay The bi-embeddability relation for finitely generated groups. II. (English) Zbl 1403.03091 Arch. Math. Logic 55, No. 3-4, 385-396 (2016). MSC: 03E15 20A15 20F05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Frisch, Joshua; Tamuz, Omer Transitive graphs uniquely determined by their local structure. (English) Zbl 1332.05101 Proc. Am. Math. Soc. 144, No. 5, 1913-1918 (2016). MSC: 05C63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Benli, Mustafa Gökhan; Grigorchuk, Rostislav; Nagnibeda, Tatiana Universal groups of intermediate growth and their invariant random subgroups. (English. Russian original) Zbl 1365.20042 Funct. Anal. Appl. 49, No. 3, 159-174 (2015); translation from Funkts. Anal. Prilozh. 49, No. 3, 1-21 (2015). MSC: 20F69 20F65 20E08 20E07 20P05 37A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Parkkonen, Jouni; Paulin, Frédéric On the hyperbolic orbital counting problem in conjugacy classes. (English) Zbl 1348.37043 Math. Z. 279, No. 3-4, 1175-1196 (2015). MSC: 37C35 20H10 30F40 53A35 20G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Williams, Jay Universal countable Borel quasi-orders. (English) Zbl 1353.03057 J. Symb. Log. 79, No. 3, 928-954 (2014). MSC: 03E15 20F06 20A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Belegradek, Oleg The space of minimal structures. (English) Zbl 1339.03028 Math. Log. Q. 60, No. 1-2, 40-53 (2014). Reviewer: Cédric Milliet (Lyon) MSC: 03C07 20F18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klyachko, Anton A.; Olshanskii, Alexander Yu.; Osin, Denis V. On topologizable and non-topologizable groups. (English) Zbl 1285.22003 Topology Appl. 160, No. 16, 2104-2120 (2013). Reviewer: Ljubiša D. Kočinac (Niš) MSC: 22A05 20B22 20F05 20F65 20F67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nekrashevych, V. Book review of: How groups grow, by Avinoam Mann. (English) Zbl 1272.00017 Bull. Am. Math. Soc., New Ser. 50, No. 3, 495-502 (2013). MSC: 00A17 × Cite Format Result Cite Review PDF Full Text: DOI
Benli, Mustafa Gökhan; Grigorchuk, Rostislav; de la Harpe, Pierre Amenable groups without finitely presented amenable covers. (English) Zbl 1352.20025 Bull. Math. Sci. 3, No. 1, 73-131 (2013). Reviewer: John R. Donnelly (Evansville) MSC: 20E08 20E22 20F05 43A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guyot, Luc Limits of metabelian groups. (English) Zbl 1282.20022 Int. J. Algebra Comput. 22, No. 4, 1250031, 30 p. (2012). Reviewer: Bui Xuan Hai (Ho Chi Minh City) MSC: 20E18 20F70 20F16 13F20 11R04 20F05 20A15 03C20 20F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guyot, Luc; Stalder, Yves Limits of Baumslag-Solitar groups and dimension estimates in the space of marked groups. (English) Zbl 1260.20047 Groups Geom. Dyn. 6, No. 3, 533-577 (2012). Reviewer: Daciberg Gonçalves (São Paulo) MSC: 20E18 20E06 20F10 20F05 20F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gilman, Robert H.; Myasnikov, Alexei; Roman’kov, Vitaliĭ Random equations in nilpotent groups. (English) Zbl 1283.20074 J. Algebra 352, No. 1, 192-214 (2012). Reviewer: Alessio Russo (Napoli) MSC: 20P05 20F70 20F18 20F69 20E05 20F10 20F05 11N45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ceccherini-Silberstein, Tullio; Coornaert, Michel Expansive actions on uniform spaces and surjunctive maps. (English) Zbl 1256.54054 Bull. Math. Sci. 1, No. 1, 79-98 (2011). Reviewer: Thomas B. Ward (Durham) MSC: 54E15 37B15 68Q80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gilman, Robert H.; Myasnikov, Alexei; Roman’kov, Vitali Random equations in free groups. (English) Zbl 1278.20088 Groups Complex. Cryptol. 3, No. 2, 257-284 (2011). MSC: 20P05 20F70 20F10 20F69 20E05 × Cite Format Result Cite Review PDF Full Text: DOI
Cornulier, Yves On the Cantor-Bendixson rank of metabelian groups. (English. French summary) Zbl 1238.20049 Ann. Inst. Fourier 61, No. 2, 593-618 (2011). Reviewer: Eric Jaligot (Grenoble) MSC: 20F05 20F16 20E15 13E05 57M07 03C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Thomas, Simon The Friedman embedding theorem. (English) Zbl 1233.20030 J. Algebra 332, No. 1, 322-333 (2011). Reviewer: Adrien Deloro (Paris) MSC: 20F05 20E07 03E15 03D40 20F10 20E06 × Cite Format Result Cite Review PDF Full Text: DOI
Grigorchuk, R. I. Some topics in the dynamics of group actions on rooted trees. (English. Russian original) Zbl 1268.20027 Proc. Steklov Inst. Math. 273, 64-175 (2011); translation from Tr. Mat. Inst. Steklova 273, 72-191 (2011). MSC: 20E08 20F65 37C85 20-02 46L05 05C25 68Q70 × Cite Format Result Cite Review PDF Full Text: DOI
Cornulier, Yves On the Chabauty space of locally compact Abelian groups. (English) Zbl 1221.22008 Algebr. Geom. Topol. 11, No. 4, 2007-2035 (2011). Reviewer: Igor Vladimirov Protasov (Kyiv) MSC: 22B05 20E15 43A25 54D05 54F45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guirardel, Vincent; Levitt, Gilbert Trees of cylinders and canonical splittings. (English) Zbl 1272.20026 Geom. Topol. 15, No. 2, 977-1012 (2011). MSC: 20E08 20E06 20F65 20F67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cornulier, Yves A sofic group away from amenable groups. (English) Zbl 1247.20039 Math. Ann. 350, No. 2, 269-275 (2011). MSC: 20F05 20E26 43A07 20E18 20F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gilman, Robert; Miasnikov, Alexei; Osin, Denis Exponentially generic subsets of groups. (English) Zbl 1243.20045 Ill. J. Math. 54, No. 1, 371-388 (2010). MSC: 20F10 20F67 43A07 20F05 20E07 × Cite Format Result Cite Review PDF Full Text: arXiv Euclid
Myasnikov, A.; Romanovskiy, N. Krull dimension of solvable groups. (English) Zbl 1234.20052 J. Algebra 324, No. 10, 2814-2831 (2010). Reviewer: V. A. Roman’kov (Omsk) MSC: 20F70 20F16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guyot, Luc Limits of dihedral groups. (English) Zbl 1210.20031 Geom. Dedicata 147, 159-171 (2010). Reviewer: Adrien Deloro (Paris) MSC: 20F05 57M07 20A15 03C20 20F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nekrashevych, Volodymyr A group of non-uniform exponential growth locally isomorphic to \(\mathrm{IMG}(z^2+i)\). (English) Zbl 1275.20049 Trans. Am. Math. Soc. 362, No. 1, 389-398 (2010). Reviewer: Dzmitry Dudko (Göttingen) MSC: 20F69 20E08 20F65 37F20 37F15 20F05 × Cite Format Result Cite Review PDF Full Text: DOI
Thom, Andreas Examples of hyperlinear groups without factorization property. (English) Zbl 1187.22002 Groups Geom. Dyn. 4, No. 1, 195-208 (2010). Reviewer: Helge Glöckner (Paderborn) MSC: 22D25 20F65 46M07 46L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Thomas, Simon On the concept of “largeness” in group theory. (English) Zbl 1215.20035 J. Algebra 322, No. 12, 4181-4197 (2009). Reviewer: Adrien Deloro (Paris) MSC: 20F05 03E15 20F06 × Cite Format Result Cite Review PDF Full Text: DOI
Zuddas, Fabio Some finiteness results for groups with bounded algebraic entropy. (English) Zbl 1221.20030 Geom. Dedicata 143, 49-62 (2009). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 20F65 20F67 53C20 20F05 37A35 28D20 57M05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Thomas, Simon The commensurability relation for finitely generated groups. (English) Zbl 1217.20020 J. Group Theory 12, No. 6, 901-909 (2009). Reviewer: Eric Jaligot (Grenoble) MSC: 20F05 20F10 03E15 × Cite Format Result Cite Review PDF Full Text: DOI
Ceccherini-Silberstein, T. G.; Samet-Vaillant, A. Y. Asymptotic invariants of finitely generated algebras. A generalization of Gromov’s quasi-isometric viewpoint. (English. Russian original) Zbl 1269.16017 J. Math. Sci., New York 156, No. 1, 56-108 (2009); translation from Sovrem. Mat. Prilozh. 50 (2007). MSC: 16S15 16P90 16P10 05C25 46L05 × Cite Format Result Cite Review PDF Full Text: DOI
Thomas, Simon Continuous versus Borel reductions. (English) Zbl 1184.03049 Arch. Math. Logic 48, No. 8, 761-770 (2009). MSC: 03E15 03D28 × Cite Format Result Cite Review PDF Full Text: DOI
Kapovich, Ilya; Schuppp, Paul E. Random quotients of the modular group are rigid and essentially incompressible. (English) Zbl 1167.22009 J. Reine Angew. Math. 628, 91-119 (2009). Reviewer: L. N. Vaserstein (University Park) MSC: 22E40 11F06 20F65 20F05 20H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kapovich, Ilya; Schupp, Paul On group-theoretic models of randomness and genericity. (English) Zbl 1239.20047 Groups Geom. Dyn. 2, No. 3, 383-404 (2008). MSC: 20F69 20F65 20F05 20F06 20P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ceccherini-Silberstein, Tullio; Elek, Gábor Minimal topological actions do not determine the measurable orbit equivalence class. (English) Zbl 1160.37002 Groups Geom. Dyn. 2, No. 2, 139-163 (2008). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 37A20 43A07 28D15 37A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Guyot, Luc Estimates of Minkowski dimensions in the space of marked groups. (Estimations de dimensions de Minkowski dans l’espace des groupes marqués.) (French) Zbl 1191.20040 Ann. Fac. Sci. Toulouse, Math. (6) 16, No. 1, 107-124 (2007). MSC: 20F65 57M07 20F05 20F06 54F45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Januszkiewicz, Tadeusz; Świątkowski, Jacek Filling invariants of systolic complexes and groups. (English) Zbl 1188.20043 Geom. Topol. 11, 727-758 (2007). MSC: 20F67 20F69 20F65 57M07 × Cite Format Result Cite Review PDF Full Text: DOI
Nekrashevych, Volodymyr A minimal Cantor set in the space of 3-generated groups. (English) Zbl 1188.20039 Geom. Dedicata 124, 153-190 (2007). MSC: 20F65 20F05 20F10 37B10 37D20 37F20 × Cite Format Result Cite Review PDF Full Text: DOI
Pichot, Mikaël Singular measured spaces and strong ergodicity. (Espaces mesurés singuliers fortement ergodiques (étude métrique-mesurée).) (French. English summary) Zbl 1147.37005 Ann. Inst. Fourier 57, No. 1, 1-43 (2007). MSC: 37A20 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Kaimanovich, Vadim; Kapovich, Ilya; Schupp, Paul The subadditive ergodic theorem and generic stretching factors for free group automorphisms. (English) Zbl 1173.20031 Isr. J. Math. 157, 1-46 (2007). MSC: 20F65 20E05 20E36 37A30 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Cornulier, Yves; Guyot, Luc; Pitsch, Wolfgang On the isolated points in the space of groups. (English) Zbl 1132.20018 J. Algebra 307, No. 1, 254-277 (2007). Reviewer: Stephan Rosebrock (Karlsruhe) MSC: 20F05 20E34 20F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thomas, Simon Cayley graphs of finitely generated groups. (English) Zbl 1077.03029 Proc. Am. Math. Soc. 134, No. 1, 289-294 (2006). MSC: 03E15 20F05 20A15 × Cite Format Result Cite Review PDF Full Text: DOI
Arzhantseva, G. N.; Burillo, J.; Lustig, M.; Reeves, L.; Short, H.; Ventura, E. Uniform non-amenability. (English) Zbl 1077.43001 Adv. Math. 197, No. 2, 499-522 (2005). Reviewer: Kellil Ferdaous (Monastir) MSC: 43A07 05C25 22D10 20E05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Groves, Daniel Limits of (certain) CAT(0) groups. I: Compactification. (English) Zbl 1085.20025 Algebr. Geom. Topol. 5, 1325-1364 (2005). Reviewer: Gregory C. Bell (Greensboro) MSC: 20F65 20F67 20E08 57M07 20E36 57S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS
Ollivier, Yann Collapsing of random quotients of hyperbolic groups with torsion. (Effondrement de quotients aléatoires de groupes hyperboliques avec torsion.) (French) Zbl 1077.20057 C. R., Math., Acad. Sci. Paris 341, No. 3, 137-140 (2005). MSC: 20F67 20P05 × Cite Format Result Cite Review PDF Full Text: DOI
Champetier, Christophe; Guirardel, Vincent Limit groups as limits of free groups. (English) Zbl 1103.20026 Isr. J. Math. 146, 1-75 (2005). Reviewer: V. A. Roman’kov (Omsk) MSC: 20F05 20E05 20F10 20E26 03C60 57M07 22A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elek, Gábor; Szabó, Endre Hyperlinearity, essentially free actions and \(L^2\)-invariants. The sofic property. (English) Zbl 1070.43002 Math. Ann. 332, No. 2, 421-441 (2005). Reviewer: Madathum K. Viswanath (Chennai) MSC: 43A07 55N25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ollivier, Yann Cogrowth and spectral gap of generic groups. (English) Zbl 1133.20032 Ann. Inst. Fourier 55, No. 1, 289-317 (2005). MSC: 20F69 20P05 20F67 20F05 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Kapovich, Ilya; Schupp, Paul Genericity, the Arzhantseva-Ol’shanskii method and the isomorphism problem for one-relator groups. (English) Zbl 1080.20029 Math. Ann. 331, No. 1, 1-19 (2005). Reviewer: Ann Chi Kim (Pusan) MSC: 20F10 20F05 20F67 20F06 20E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kapovich, Ilya; Myasnikov, Alexei; Schupp, Paul; Shpilrain, Vladimir Average-case complexity and decision problems in group theory. (English) Zbl 1065.20044 Adv. Math. 190, No. 2, 343-359 (2005). MSC: 20F10 20F05 03D15 57M07 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zuddas, Fabio Some finiteness results for groups with bounded algebraic entropy. (English. Abridged French version) Zbl 1064.20038 C. R., Math., Acad. Sci. Paris 338, No. 12, 915-920 (2004). MSC: 20F05 20F67 57M05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ollivier, Yann Critical densities for random quotients of hyperbolic groups. (English) Zbl 1050.20048 C. R., Math., Acad. Sci. Paris 336, No. 5, 391-394 (2003). MSC: 20P05 20F67 60C05 × Cite Format Result Cite Review PDF Full Text: DOI
Kapovich, Ilya; Myasnikov, Alexei; Schupp, Paul; Shpilrain, Vladimir Generic-case complexity, decision problems in group theory, and random walks. (English) Zbl 1041.20021 J. Algebra 264, No. 2, 665-694 (2003). Reviewer: Oleg V. Belegradek (Istanbul) MSC: 20F10 03D15 60G50 68Q15 68Q25 20F05 20E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jackson, S.; Kechris, A. S.; Louveau, A. Countable Borel equivalence relations. (English) Zbl 1008.03031 J. Math. Log. 2, No. 1, 1-80 (2002). Reviewer: Miroslav Repický (Kosice) MSC: 03E15 × Cite Format Result Cite Review PDF Full Text: DOI
Guirardel, Vincent An alternative on the entropy of groups. (Une alternative sur l’entropie des groupes.) (French) Zbl 1061.20039 C. R., Math., Acad. Sci. Paris 334, No. 9, 743-746 (2002). MSC: 20F65 20F67 20F05 × Cite Format Result Cite Review PDF Full Text: DOI
Champetier, Christophe A small simplification in hyperbolic groups. (Petite simplification dans les groupes hyperboliques.) (French) Zbl 0803.53026 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 3, No. 2, 161-221 (1994). MSC: 53C20 57M05 53C23 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML