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Topology of finite graphs. (English) Zbl 0521.20013

MSC:
20E07 Subgroup theorems; subgroup growth
20E05 Free nonabelian groups
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
20F05 Generators, relations, and presentations of groups
05C05 Trees
57M10 Covering spaces and low-dimensional topology
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References:
[1] Burns, R.G.: A note on free groups. Proc. Amer. Math. Soc.23, 14–17 (1969) · Zbl 0184.04001 · doi:10.1090/S0002-9939-1969-0252488-X
[2] Gersten, S.M.: Intersections of finitely generated subgroups of free groups and resolutions of graphs. Invent. Math.71 (1983) · Zbl 0521.20014
[3] Greenberg, L.: Discrete groups of motions. Canad. J. Math.12, 414–425 (1960) · Zbl 0096.02102 · doi:10.4153/CJM-1960-036-8
[4] Hall, M., Jr.: Coset representations in free groups. Trans. Amer. Math. Soc.67, 421–432 (1949) · Zbl 0035.01301 · doi:10.1090/S0002-9947-1949-0032642-4
[5] Howson, A.G.: On the intersection of finitely generated free groups. J. London Math. Soc.29, 428–434 (1954) · Zbl 0056.02106 · doi:10.1112/jlms/s1-29.4.428
[6] Imrich, W.: Subgroup theorems and graphs. Combinatorial, Mathematics V. Lecture Notes Vol. 622. Berlin-Heidelberg-New York: Springer 1977 · Zbl 0366.20018
[7] McCool, J.: Some finitely presented subgroups of the automorphism group of a free group., J. Algebra35, 205–213 (1975) · Zbl 0325.20025 · doi:10.1016/0021-8693(75)90045-9
[8] Neumann, H.: On the intersection of finitely generated free groups. Publ. Math. Debrecen4, 36–39 (1956); Addendum5, 128 (1957) · Zbl 0070.02001
[9] Serre J-P.: Arbres, amalgames SL2. Astérisque No. 46, Société Math. de France (1977)
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