Arithmetic group (English Wikipedia)

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

Last modified: 10:13:34, 10 August 2026 (UTC)

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1212ams.org

434^th place

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99doi.org

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55semanticscholar.org

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33jstor.org

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33arxiv.org

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22deductivepress.ca

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11numdam.org

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11projecteuclid.org

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ams.org (Global: 434^th place; English: 249^th place)

ams.org

Borel, Armand (1969). Introduction aux groupes arithmétiques. Hermann.
Siegel, Carl Ludwig (1989). Lectures on the geometry of numbers. Springer-Verlag.
Borel, Armand; Tits, Jacques (1965). "Groupes réductifs". Inst. Hautes Études Sci. Publ. Math. 27: 55–150. doi:10.1007/bf02684375. S2CID 189767074.
Borel, Armand; Harish-Chandra (1962). "Arithmetic subgroups of algebraic groups". Annals of Mathematics. 75 (3): 485–535. doi:10.2307/1970210. JSTOR 1970210.
Raghunathan, M.S. (1972). Discrete subgroups of Lie groups. Springer-Verlag.
Selberg, Atle (1956). "Harmonic analysis ans discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series". J. Indian Math. Soc. New Series. 20: 47–87.
Thurston, William (1982). "Three-dimensional manifolds, Kleinian groups and hyperbolic geometry". Bull. Amer. Math. Soc. (N.S.). 6 (3): 357–381. doi:10.1090/s0273-0979-1982-15003-0.

mathscinet.ams.org

Langlands, R. P. (1966), "The volume of the fundamental domain for some arithmetical subgroups of Chevalley groups", Algebraic Groups and Discontinuous Subgroups, Proc. Sympos. Pure Math., Providence, R.I.: Amer. Math. Soc., pp. 143–148, MR 0213362
Weil, André (1982). Adèles and algebraic groups. Birkhäuser. p. iii+126. MR 0670072.
Katz, Mikhail G.; Schaps, Mary; Vishne, Uzi (2007), "Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups", Journal of Differential Geometry, 76 (3): 399–422, arXiv:math.DG/0505007, doi:10.4310/jdg/1180135693, MR 2331526, S2CID 18152345
Abért, Miklós; Glasner, Yair; Virág, Bálint (2014). "Kesten's theorem for invariant random subgroups". Duke Math. J. 163 (3): 465. arXiv:1201.3399. doi:10.1215/00127094-2410064. MR 3165420. S2CID 20839217.
Prasad, Gopal; Rapinchuk, Andrei S. (2009). "Weakly commensurable arithmetic groups and isospectral locally symmetric spaces". Publ. Math. Inst. Hautes Études Sci. 109: 113–184. arXiv:0705.2891. doi:10.1007/s10240-009-0019-6. MR 2511587. S2CID 1153678.

arxiv.org (Global: 49^th place; English: 31^st place)

Katz, Mikhail G.; Schaps, Mary; Vishne, Uzi (2007), "Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups", Journal of Differential Geometry, 76 (3): 399–422, arXiv:math.DG/0505007, doi:10.4310/jdg/1180135693, MR 2331526, S2CID 18152345
Abért, Miklós; Glasner, Yair; Virág, Bálint (2014). "Kesten's theorem for invariant random subgroups". Duke Math. J. 163 (3): 465. arXiv:1201.3399. doi:10.1215/00127094-2410064. MR 3165420. S2CID 20839217.
Prasad, Gopal; Rapinchuk, Andrei S. (2009). "Weakly commensurable arithmetic groups and isospectral locally symmetric spaces". Publ. Math. Inst. Hautes Études Sci. 109: 113–184. arXiv:0705.2891. doi:10.1007/s10240-009-0019-6. MR 2511587. S2CID 1153678.

deductivepress.ca (Global: low place; English: low place)

Witte-Morris, Dave (2015). "16". Introduction to arithmetic groups.
Witte-Morris, Dave (2015). "18". Introduction to arithmetic groups.

doi.org (Global: 2^nd place; English: 2^nd place)

Borel, Armand; Tits, Jacques (1965). "Groupes réductifs". Inst. Hautes Études Sci. Publ. Math. 27: 55–150. doi:10.1007/bf02684375. S2CID 189767074.
Borel, Armand; Harish-Chandra (1962). "Arithmetic subgroups of algebraic groups". Annals of Mathematics. 75 (3): 485–535. doi:10.2307/1970210. JSTOR 1970210.
Thurston, William (1982). "Three-dimensional manifolds, Kleinian groups and hyperbolic geometry". Bull. Amer. Math. Soc. (N.S.). 6 (3): 357–381. doi:10.1090/s0273-0979-1982-15003-0.
Gromov, Mikhail; Schoen, Richard (1992). "Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one". Inst. Hautes Études Sci. Publ. Math. 76: 165–246. doi:10.1007/bf02699433. S2CID 118023776.
Corlette, Kevin (1992). "Archimedean superrigidity and hyperbolic geometry". Ann. of Math. 135 (1): 165–182. doi:10.2307/2946567. JSTOR 2946567.
Katz, Mikhail G.; Schaps, Mary; Vishne, Uzi (2007), "Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups", Journal of Differential Geometry, 76 (3): 399–422, arXiv:math.DG/0505007, doi:10.4310/jdg/1180135693, MR 2331526, S2CID 18152345
Abért, Miklós; Glasner, Yair; Virág, Bálint (2014). "Kesten's theorem for invariant random subgroups". Duke Math. J. 163 (3): 465. arXiv:1201.3399. doi:10.1215/00127094-2410064. MR 3165420. S2CID 20839217.
Vignéras, Marie-France (1980). "Variétés riemanniennes isospectrales et non isométriques". Ann. of Math. (in French). 112 (1): 21–32. doi:10.2307/1971319. JSTOR 1971319.
Prasad, Gopal; Rapinchuk, Andrei S. (2009). "Weakly commensurable arithmetic groups and isospectral locally symmetric spaces". Publ. Math. Inst. Hautes Études Sci. 109: 113–184. arXiv:0705.2891. doi:10.1007/s10240-009-0019-6. MR 2511587. S2CID 1153678.

jstor.org (Global: 23^rd place; English: 15^th place)

Borel, Armand; Harish-Chandra (1962). "Arithmetic subgroups of algebraic groups". Annals of Mathematics. 75 (3): 485–535. doi:10.2307/1970210. JSTOR 1970210.
Corlette, Kevin (1992). "Archimedean superrigidity and hyperbolic geometry". Ann. of Math. 135 (1): 165–182. doi:10.2307/2946567. JSTOR 2946567.
Vignéras, Marie-France (1980). "Variétés riemanniennes isospectrales et non isométriques". Ann. of Math. (in French). 112 (1): 21–32. doi:10.2307/1971319. JSTOR 1971319.

numdam.org (Global: 8,359^th place; English: 6,894^th place)

Gromov, Mikhail; Schoen, Richard (1992). "Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one". Inst. Hautes Études Sci. Publ. Math. 76: 165–246. doi:10.1007/bf02699433. S2CID 118023776.

projecteuclid.org (Global: 4,781^st place; English: 3,117^th place)

Katz, Mikhail G.; Schaps, Mary; Vishne, Uzi (2007), "Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups", Journal of Differential Geometry, 76 (3): 399–422, arXiv:math.DG/0505007, doi:10.4310/jdg/1180135693, MR 2331526, S2CID 18152345

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Borel, Armand; Tits, Jacques (1965). "Groupes réductifs". Inst. Hautes Études Sci. Publ. Math. 27: 55–150. doi:10.1007/bf02684375. S2CID 189767074.
Gromov, Mikhail; Schoen, Richard (1992). "Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one". Inst. Hautes Études Sci. Publ. Math. 76: 165–246. doi:10.1007/bf02699433. S2CID 118023776.
Katz, Mikhail G.; Schaps, Mary; Vishne, Uzi (2007), "Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups", Journal of Differential Geometry, 76 (3): 399–422, arXiv:math.DG/0505007, doi:10.4310/jdg/1180135693, MR 2331526, S2CID 18152345
Abért, Miklós; Glasner, Yair; Virág, Bálint (2014). "Kesten's theorem for invariant random subgroups". Duke Math. J. 163 (3): 465. arXiv:1201.3399. doi:10.1215/00127094-2410064. MR 3165420. S2CID 20839217.
Prasad, Gopal; Rapinchuk, Andrei S. (2009). "Weakly commensurable arithmetic groups and isospectral locally symmetric spaces". Publ. Math. Inst. Hautes Études Sci. 109: 113–184. arXiv:0705.2891. doi:10.1007/s10240-009-0019-6. MR 2511587. S2CID 1153678.

Arithmetic group (English Wikipedia)

ams.org (Global: 434th place; English: 249th place)

ams.org

mathscinet.ams.org

arxiv.org (Global: 49th place; English: 31st place)

deductivepress.ca (Global: low place; English: low place)

doi.org (Global: 2nd place; English: 2nd place)

jstor.org (Global: 23rd place; English: 15th place)

numdam.org (Global: 8,359th place; English: 6,894th place)

projecteuclid.org (Global: 4,781st place; English: 3,117th place)

semanticscholar.org (Global: 15th place; English: 8th place)