Hyperbolic group (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Hyperbolic group" in English language version.

refsWebsite

Global rank English rank

11doi.org

2^nd place

11ams.org

451^st place

277^th place

4semanticscholar.org

11^th place

8^th place

3warwick.ac.uk

4,378^th place

2,689^th place

2arxiv.org

69^th place

59^th place

1lamington.wordpress.com

low place

1stackexchange.com

1,983^rd place

1,330^th place

ams.org

mathscinet.ams.org

Bowditch 2006, Theorem 3.6. Bowditch, Brian (2006). A course on geometric group theory (PDF). MSJ Memoirs. Vol. 16. Tokyo: Mathematical Society of Japan. doi:10.1142/e003. ISBN 4-931469-35-3. MR 2243589.
Ghys & de la Harpe 1990, Ch. 8, Th. 37. Ghys, Étienne; de la Harpe, Pierre, eds. (1990). Sur les groupes hyperboliques d'après Mikhael Gromov [Hyperbolic groups in the theory of Mikhael Gromov]. Progress in Mathematics (in French). Vol. 83. Boston, MA: Birkhäuser Boston, Inc. doi:10.1007/978-1-4684-9167-8. ISBN 0-8176-3508-4. MR 1086648.
Bridson & Haefliger 1999, Chapter 3.Γ, Corollary 3.10.. Bridson, Martin R.; Haefliger, André (1999). Metric spaces of non-positive curvature. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Vol. 319. Berlin: Springer-Verlag. doi:10.1007/978-3-662-12494-9. ISBN 3-540-64324-9. MR 1744486.
Bowditch 2006, (F4) in paragraph 6.11.2. Bowditch, Brian (2006). A course on geometric group theory (PDF). MSJ Memoirs. Vol. 16. Tokyo: Mathematical Society of Japan. doi:10.1142/e003. ISBN 4-931469-35-3. MR 2243589.
Ghys & de la Harpe 1990, Chapitre 4. Ghys, Étienne; de la Harpe, Pierre, eds. (1990). Sur les groupes hyperboliques d'après Mikhael Gromov [Hyperbolic groups in the theory of Mikhael Gromov]. Progress in Mathematics (in French). Vol. 83. Boston, MA: Birkhäuser Boston, Inc. doi:10.1007/978-1-4684-9167-8. ISBN 0-8176-3508-4. MR 1086648.
Mineyev 2002. Mineyev, Igor (2002). "Bounded cohomology characterizes hyperbolic groups". Quarterly Journal of Mathematics. 53 (1): 59–73. doi:10.1093/qjmath/53.1.59. MR 1887670.
Charney 1992. Charney, Ruth (1992). "Artin groups of finite type are biautomatic". Mathematische Annalen. 292 (4): 671–683. doi:10.1007/BF01444642. MR 1157320. S2CID 120654588.
Cannon & Swenson 1998. Cannon, James W.; Swenson, Eric L. (1998). "Recognizing constant curvature discrete groups in dimension 3". Transactions of the American Mathematical Society. 350 (2): 809–849. doi:10.1090/S0002-9947-98-02107-2. MR 1458317.
Bowditch 2012. Bowditch, Brian (2012). "Relatively hyperbolic groups" (PDF). International Journal of Algebra and Computation. 22 (3): 1250016, 66 pp. doi:10.1142/S0218196712500166. MR 2922380. S2CID 261118194.
Osin 2016. Osin, Denis (2016). "Acylindrically hyperbolic groups". Transactions of the American Mathematical Society. 368 (2): 851–888. arXiv:1304.1246. doi:10.1090/tran/6343. MR 3430352. S2CID 21624534.

ams.org

Gromov, Mikhail (1987). "Hyperbolic Groups". In Gersten, S.M. (ed.). Essays in Group Theory. Mathematical Sciences Research Institute Publications, vol 8. New York, NY: Springer. pp. 75–263.

arxiv.org

Dahmani & Guirardel 2011. Dahmani, François; Guirardel, Vincent (2011). "The isomorphism problem for all hyperbolic groups". Geometric and Functional Analysis. 21 (2): 223–300. arXiv:1002.2590. doi:10.1007/s00039-011-0120-0. S2CID 115165062.
Osin 2016. Osin, Denis (2016). "Acylindrically hyperbolic groups". Transactions of the American Mathematical Society. 368 (2): 851–888. arXiv:1304.1246. doi:10.1090/tran/6343. MR 3430352. S2CID 21624534.

doi.org

Bowditch 2006, Theorem 3.6. Bowditch, Brian (2006). A course on geometric group theory (PDF). MSJ Memoirs. Vol. 16. Tokyo: Mathematical Society of Japan. doi:10.1142/e003. ISBN 4-931469-35-3. MR 2243589.
Ghys & de la Harpe 1990, Ch. 8, Th. 37. Ghys, Étienne; de la Harpe, Pierre, eds. (1990). Sur les groupes hyperboliques d'après Mikhael Gromov [Hyperbolic groups in the theory of Mikhael Gromov]. Progress in Mathematics (in French). Vol. 83. Boston, MA: Birkhäuser Boston, Inc. doi:10.1007/978-1-4684-9167-8. ISBN 0-8176-3508-4. MR 1086648.
Bridson & Haefliger 1999, Chapter 3.Γ, Corollary 3.10.. Bridson, Martin R.; Haefliger, André (1999). Metric spaces of non-positive curvature. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Vol. 319. Berlin: Springer-Verlag. doi:10.1007/978-3-662-12494-9. ISBN 3-540-64324-9. MR 1744486.
Bowditch 2006, (F4) in paragraph 6.11.2. Bowditch, Brian (2006). A course on geometric group theory (PDF). MSJ Memoirs. Vol. 16. Tokyo: Mathematical Society of Japan. doi:10.1142/e003. ISBN 4-931469-35-3. MR 2243589.
Ghys & de la Harpe 1990, Chapitre 4. Ghys, Étienne; de la Harpe, Pierre, eds. (1990). Sur les groupes hyperboliques d'après Mikhael Gromov [Hyperbolic groups in the theory of Mikhael Gromov]. Progress in Mathematics (in French). Vol. 83. Boston, MA: Birkhäuser Boston, Inc. doi:10.1007/978-1-4684-9167-8. ISBN 0-8176-3508-4. MR 1086648.
Mineyev 2002. Mineyev, Igor (2002). "Bounded cohomology characterizes hyperbolic groups". Quarterly Journal of Mathematics. 53 (1): 59–73. doi:10.1093/qjmath/53.1.59. MR 1887670.
Charney 1992. Charney, Ruth (1992). "Artin groups of finite type are biautomatic". Mathematische Annalen. 292 (4): 671–683. doi:10.1007/BF01444642. MR 1157320. S2CID 120654588.
Dahmani & Guirardel 2011. Dahmani, François; Guirardel, Vincent (2011). "The isomorphism problem for all hyperbolic groups". Geometric and Functional Analysis. 21 (2): 223–300. arXiv:1002.2590. doi:10.1007/s00039-011-0120-0. S2CID 115165062.
Cannon & Swenson 1998. Cannon, James W.; Swenson, Eric L. (1998). "Recognizing constant curvature discrete groups in dimension 3". Transactions of the American Mathematical Society. 350 (2): 809–849. doi:10.1090/S0002-9947-98-02107-2. MR 1458317.
Bowditch 2012. Bowditch, Brian (2012). "Relatively hyperbolic groups" (PDF). International Journal of Algebra and Computation. 22 (3): 1250016, 66 pp. doi:10.1142/S0218196712500166. MR 2922380. S2CID 261118194.
Osin 2016. Osin, Denis (2016). "Acylindrically hyperbolic groups". Transactions of the American Mathematical Society. 368 (2): 851–888. arXiv:1304.1246. doi:10.1090/tran/6343. MR 3430352. S2CID 21624534.

lamington.wordpress.com

for a proof that this includes the previous examples see https://lamington.wordpress.com/2012/10/17/upper-curvature-bounds-and-catk/

semanticscholar.org

api.semanticscholar.org

Charney 1992. Charney, Ruth (1992). "Artin groups of finite type are biautomatic". Mathematische Annalen. 292 (4): 671–683. doi:10.1007/BF01444642. MR 1157320. S2CID 120654588.
Dahmani & Guirardel 2011. Dahmani, François; Guirardel, Vincent (2011). "The isomorphism problem for all hyperbolic groups". Geometric and Functional Analysis. 21 (2): 223–300. arXiv:1002.2590. doi:10.1007/s00039-011-0120-0. S2CID 115165062.
Bowditch 2012. Bowditch, Brian (2012). "Relatively hyperbolic groups" (PDF). International Journal of Algebra and Computation. 22 (3): 1250016, 66 pp. doi:10.1142/S0218196712500166. MR 2922380. S2CID 261118194.
Osin 2016. Osin, Denis (2016). "Acylindrically hyperbolic groups". Transactions of the American Mathematical Society. 368 (2): 851–888. arXiv:1304.1246. doi:10.1090/tran/6343. MR 3430352. S2CID 21624534.

stackexchange.com

math.stackexchange.com

"Are all δ-hyperbolic groups CAT(0)?". Stack Exchange. February 10, 2015.

warwick.ac.uk

Bowditch 2006, Theorem 3.6. Bowditch, Brian (2006). A course on geometric group theory (PDF). MSJ Memoirs. Vol. 16. Tokyo: Mathematical Society of Japan. doi:10.1142/e003. ISBN 4-931469-35-3. MR 2243589.
Bowditch 2006, (F4) in paragraph 6.11.2. Bowditch, Brian (2006). A course on geometric group theory (PDF). MSJ Memoirs. Vol. 16. Tokyo: Mathematical Society of Japan. doi:10.1142/e003. ISBN 4-931469-35-3. MR 2243589.

homepages.warwick.ac.uk

Bowditch 2012. Bowditch, Brian (2012). "Relatively hyperbolic groups" (PDF). International Journal of Algebra and Computation. 22 (3): 1250016, 66 pp. doi:10.1142/S0218196712500166. MR 2922380. S2CID 261118194.