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Stallings, John R.

Topology of finite graphs. (English) Zbl 0521.20013

Invent. Math. 71, 551-565 (1983).
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Cited in 17 Reviews
Cited in 243 Documents

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

Keywords:

trees; coverings; immersions of graphs; Howson theorem; intersection of finitely generated subgroups of free group; subgroups of finite index; Kurosh subgroup theorem
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\textit{J. R. Stallings}, Invent. Math. 71, 551--565 (1983; Zbl 0521.20013)
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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
[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
[4] Hall, M., Jr.: Coset representations in free groups. Trans. Amer. Math. Soc.67, 421–432 (1949) · Zbl 0035.01301
[5] Howson, A.G.: On the intersection of finitely generated free groups. J. London Math. Soc.29, 428–434 (1954) · Zbl 0056.02106
[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
[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)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.