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Order reduced Reidemeister-Schreier subgroup presentations and applications. (English) Zbl 0388.20027


MSC:

20F05 Generators, relations, and presentations of groups
20E22 Extensions, wreath products, and other compositions of groups
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References:

[1] Hoare, A.H.M., Karrass, A., Solitar, D.: Subgroups of Finite Index of Fuchsian Groups. Math. Z.120, 289-298 (1971) · Zbl 0223.20053 · doi:10.1007/BF01109993
[2] Hoare, A.H.M., Karrass, A., Solitar, D.: Subgroups of Infinite Index in Fuchsian Groups. Math. Z.125, 59-69 (1972) · Zbl 0223.20054 · doi:10.1007/BF01111114
[3] Hoare, A.H.M., Karrass, A., Solitar, D.: Subgroups of NEC Groups. Comm. Pure Appl. Math.26, 731-744 (1973) · Zbl 0272.20034 · doi:10.1002/cpa.3160260515
[4] Lyndon, R.C.: On the Combinatorial Riemann-Hurwitz Formula. In: Symposia Mathematica17, pp. 435-439. Istituto Nazionale di Alta Matematica. London-New York: Academic Press 1976 · Zbl 0331.20008
[5] Lyndon, R.C., Schupp, P.E.: Combinatorial Group Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete89. Berlin-Heidelberg-New York: Springer 1977 · Zbl 0368.20023
[6] Macbeath, A.M., Hoare, A.H.M.: Groups of hyperbolic crystallography. Math. Proc. Cambridge Philos. Soc.79, 235-249 (1976) · Zbl 0338.20056 · doi:10.1017/S0305004100052245
[7] Magnus, W., Karrass, A., Solitar, D.: Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations. New York: Interscience 1966 · Zbl 0138.25604
[8] Massey, W.S.: Algebraic Topology: An Introduction. New York: Harcourt, Brace & World 1967 · Zbl 0153.24901
[9] Reidemeister, K.: Knoten und Gruppen. Abh. Math. Sem. Univ. Hamburg5, 7-32 (1927) · JFM 52.0578.04 · doi:10.1007/BF02952506
[10] Reidemeister, K.: Einführung in die kombinatorische Topologie. Braunschweig: Friedrich Vieweg & Sohn 1932 · Zbl 0004.36904
[11] Schreier, O.: Die Untergruppen der freien Gruppen. Abh. Math. Sem. Univ. Hamburg5, 161-183 (1927) · JFM 53.0110.01 · doi:10.1007/BF02952517
[12] Wilkie, M.C.: On non-Euclidean crystallographic Groups. Math. Z. 87-102 (1966) · Zbl 0166.02602
[13] Zieschang, H.: On Decompositions of Discontinuous Groups of the Plane. Math. Z.151, 165-188 (1976) · Zbl 0331.50018 · doi:10.1007/BF01213993
[14] Zieschang, H., Vogt, E., Coldewey, H.-D.: Flächen und ebene diskontinuierliche Gruppen. Lecture Notes in Mathematics122. Berlin-Heidelberg-New York: Springer 1970 · Zbl 0204.24002
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