Commensurability of co-compact three-dimensional hyperbolic groups

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Commensurability of co-compact three-dimensional hyperbolic groups

A. M. Macbeath

Source: Duke Math. J. Volume 50, Number 4 (1983), 1245-1253.

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See also: A. M. Macbeath. Erratum: “Commensurability of co-compact three-dimensional hyperbolic manifolds,” vol. 50 (1983) pp. 1245–1253. Duke Math. J. Vol. 56, No. 1 (1988), pp. 219–219.

Project Euclid: euclid.dmj/1077306459

Primary Subjects: 22E40

Secondary Subjects: 11F06, 53C35, 57N10, 57S99

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077303499
Mathematical Reviews number (MathSciNet): MR726327
Zentralblatt MATH identifier: 0588.22009
Digital Object Identifier: doi:10.1215/S0012-7094-83-05054-8

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References

[1] R. Fricke and F. Klein, Vorlesungen über die Theorie der automorphen Funktionen, Vol. 1, p. 335 ff. (Teubner, Leipzig, 1897, reprint Johnson, New York, 1965).

[2] T. Jørgensen, Compact $3$-manifolds of constant negative curvature fibering over the circle, Ann. Math. (2) 106 (1977), no. 1, 61–72.

Mathematical Reviews (MathSciNet): MR56:8840

Zentralblatt MATH: 0368.53025

Digital Object Identifier: doi:10.2307/1971158

[3] F. Lannér, On complexes with transitive groups of automorphisms, Comm. Sém., Math. Univ. Lund [Medd. Lunds Univ. Mat. Sem.] 11 (1950), 71.

Mathematical Reviews (MathSciNet): MR13,58c

Zentralblatt MATH: 0037.39802

[4] A. M. Macbeath, Generators of the linear fractional groups, Number Theory (Proc. Sympos. Pure Math., Vol. XII, Houston, Tex., 1967), Amer. Math. Soc., Providence, R.I., 1969, pp. 14–32.

Mathematical Reviews (MathSciNet): MR41:6987

Zentralblatt MATH: 0192.35703

[5] G. D. Mostow, Strong rigidity of locally symmetric spaces, Princeton University Press, Princeton, N.J., 1973.

Mathematical Reviews (MathSciNet): MR52:5874

Zentralblatt MATH: 0265.53039

[6] A. Weil, On discrete subgroups of Lie groups, Ann. of Math. (2) 72 (1960), 369–384.

Mathematical Reviews (MathSciNet): MR25:1241

Zentralblatt MATH: 0131.26602

Digital Object Identifier: doi:10.2307/1970140

JSTOR: links.jstor.org

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