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Lattice (discrete subgroup) (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Lattice (discrete subgroup)" in English language version.

refsWebsite
Global rank English rank
14ams.org
451st place
277th place
6doi.org
2nd place
2nd place
4arxiv.org
69th place
59th place
4semanticscholar.org
11th place
8th place
4deductivepress.ca
low place
low place
1numdam.org
8,650th place
7,668th place

ams.org

mathscinet.ams.org

  • Bader, Uri; Caprace, Pierre-Emmanuel; Gelander, Tsachik; Mozes, Shahar (2012). "Simple groups without lattices". Bull. London Math. Soc. 44: 55–67. arXiv:1008.2911. doi:10.1112/blms/bdr061. MR 2881324. S2CID 119130421.
  • Raghunathan 1972, Theorem 2.1. Raghunathan, M. S. (1972). Discrete subgroups of Lie groups. Ergebnisse de Mathematik und ihrer Grenzgebiete. Springer-Verlag. MR 0507234.
  • Raghunathan 1972, Theorem 2.12. Raghunathan, M. S. (1972). Discrete subgroups of Lie groups. Ergebnisse de Mathematik und ihrer Grenzgebiete. Springer-Verlag. MR 0507234.
  • Raghunathan 1972, Theorem 2.21. Raghunathan, M. S. (1972). Discrete subgroups of Lie groups. Ergebnisse de Mathematik und ihrer Grenzgebiete. Springer-Verlag. MR 0507234.
  • Raghunathan 1972, Theorem 3.1. Raghunathan, M. S. (1972). Discrete subgroups of Lie groups. Ergebnisse de Mathematik und ihrer Grenzgebiete. Springer-Verlag. MR 0507234.
  • Raghunathan 1972, Theorem 4.28. Raghunathan, M. S. (1972). Discrete subgroups of Lie groups. Ergebnisse de Mathematik und ihrer Grenzgebiete. Springer-Verlag. MR 0507234.
  • Gromov, Misha; Piatetski-Shapiro, Ilya (1987). "Nonarithmetic groups in Lobachevsky spaces" (PDF). Publ. Math. IHÉS. 66: 93–103. doi:10.1007/bf02698928. MR 0932135. S2CID 55721623.
  • Deligne, Pierre; Mostow, George (1993). Commensurabilities among Lattices in PU (1,n). Princeton University Press. MR 1241644.
  • Margulis 1991, p. 298. Margulis, Grigory (1991). Discrete subgroups of semisimple Lie groups. Ergebnisse de Mathematik und ihrer Grenzgebiete. Springer-Verlag. pp. x+388. ISBN 3-540-12179-X. MR 1090825.
  • Margulis 1991, pp. 263–270. Margulis, Grigory (1991). Discrete subgroups of semisimple Lie groups. Ergebnisse de Mathematik und ihrer Grenzgebiete. Springer-Verlag. pp. x+388. ISBN 3-540-12179-X. MR 1090825.
  • Raghunathan, M. S. (2004). "The congruence subgroup problem". Proc. Indian Acad. Sci. Math. Sci. 114 (4): 299–308. arXiv:math/0503088. doi:10.1007/BF02829437. MR 2067695. S2CID 18414386.
  • Lubotzky, Alexander; Segal, Dan (2003). Subgroup growth. Progress in Mathematics. Vol. 212. Birkhäuser Verlag. Chapter 7. ISBN 3-7643-6989-2. MR 1978431.
  • Lubotzky, Alexander (1991). "Lattices in rank one Lie groups over local fields". Geom. Funct. Anal. 1 (4): 406–431. doi:10.1007/BF01895641. MR 1132296. S2CID 119638780.
  • Weil, André (1982). Adeles and algebraic groups. With appendices by M. Demazure and Takashi Ono. Progress in Mathematics. Vol. 23. Birkhäuser. pp. iii+126. ISBN 3-7643-3092-9. MR 0670072.

arxiv.org

  • Bader, Uri; Caprace, Pierre-Emmanuel; Gelander, Tsachik; Mozes, Shahar (2012). "Simple groups without lattices". Bull. London Math. Soc. 44: 55–67. arXiv:1008.2911. doi:10.1112/blms/bdr061. MR 2881324. S2CID 119130421.
  • Raghunathan, M. S. (2004). "The congruence subgroup problem". Proc. Indian Acad. Sci. Math. Sci. 114 (4): 299–308. arXiv:math/0503088. doi:10.1007/BF02829437. MR 2067695. S2CID 18414386.
  • Gelander, Tsachik (15 September 2004). "Homotopy type and volume of locally symmetric manifolds". Duke Mathematical Journal. 124 (3): 459–515. arXiv:math/0111165. doi:10.1215/S0012-7094-04-12432-7.
  • Gelander, Tsachik (December 2011). "Volume versus rank of lattices". Journal für die reine und angewandte Mathematik. 2011 (661): 237–248. arXiv:1102.3574. doi:10.1515/CRELLE.2011.085.

deductivepress.ca

doi.org

  • Bader, Uri; Caprace, Pierre-Emmanuel; Gelander, Tsachik; Mozes, Shahar (2012). "Simple groups without lattices". Bull. London Math. Soc. 44: 55–67. arXiv:1008.2911. doi:10.1112/blms/bdr061. MR 2881324. S2CID 119130421.
  • Gromov, Misha; Piatetski-Shapiro, Ilya (1987). "Nonarithmetic groups in Lobachevsky spaces" (PDF). Publ. Math. IHÉS. 66: 93–103. doi:10.1007/bf02698928. MR 0932135. S2CID 55721623.
  • Raghunathan, M. S. (2004). "The congruence subgroup problem". Proc. Indian Acad. Sci. Math. Sci. 114 (4): 299–308. arXiv:math/0503088. doi:10.1007/BF02829437. MR 2067695. S2CID 18414386.
  • Gelander, Tsachik (15 September 2004). "Homotopy type and volume of locally symmetric manifolds". Duke Mathematical Journal. 124 (3): 459–515. arXiv:math/0111165. doi:10.1215/S0012-7094-04-12432-7.
  • Gelander, Tsachik (December 2011). "Volume versus rank of lattices". Journal für die reine und angewandte Mathematik. 2011 (661): 237–248. arXiv:1102.3574. doi:10.1515/CRELLE.2011.085.
  • Lubotzky, Alexander (1991). "Lattices in rank one Lie groups over local fields". Geom. Funct. Anal. 1 (4): 406–431. doi:10.1007/BF01895641. MR 1132296. S2CID 119638780.

numdam.org

semanticscholar.org

api.semanticscholar.org

  • Bader, Uri; Caprace, Pierre-Emmanuel; Gelander, Tsachik; Mozes, Shahar (2012). "Simple groups without lattices". Bull. London Math. Soc. 44: 55–67. arXiv:1008.2911. doi:10.1112/blms/bdr061. MR 2881324. S2CID 119130421.
  • Gromov, Misha; Piatetski-Shapiro, Ilya (1987). "Nonarithmetic groups in Lobachevsky spaces" (PDF). Publ. Math. IHÉS. 66: 93–103. doi:10.1007/bf02698928. MR 0932135. S2CID 55721623.
  • Raghunathan, M. S. (2004). "The congruence subgroup problem". Proc. Indian Acad. Sci. Math. Sci. 114 (4): 299–308. arXiv:math/0503088. doi:10.1007/BF02829437. MR 2067695. S2CID 18414386.
  • Lubotzky, Alexander (1991). "Lattices in rank one Lie groups over local fields". Geom. Funct. Anal. 1 (4): 406–431. doi:10.1007/BF01895641. MR 1132296. S2CID 119638780.