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References
R.H. Crowell and N. Smythe, The theory of groupnets (in preparation, partial preprint available).
Philip J. Higgins, Notes on categories and groupoids (Van Nostrand Reinhold Mathematical Studies, 32. Van Nostrand, London, 1971). Zbl.226.20054.
A. Karrass and D. Solitar, "The subgroups of a free product of two groups with an amalgamated subgroup", Trans. Amer. Math. Soc. 150 (1970), 227–255. MR41#5499.
A. Karrass and D. Solitar, "Subgroups of HNN groups and groups with one defining relation", Canad. J. Math. 23 (1971), 627–643. Zbl.232.20051.
Hanna Neumann, "Generalized free products with amalgamated subgroups. Part I. Definitions and general properties", Amer. J. Math. 70 (1948), 590–625. MR10,233.
Hanna Neumann, "Generalized free products with amalgamated subgroups. Part II. The subgroups of generalized free products", Amer. J. Math. 71 (1949), 491–540. MR11,8.
Edward T. Ordman, "On subgroups of amalgamated free products", Proc. Cambridge Philos. Soc. 69 (1971), 13–23. Zbl.203,323.
John R. Stallings, "A topological proof of Grushko's theorem on free products", Math. Z. 90 (1965), 1–8. MR32#5723.
F. Waldhausen, "Whitehead groups of generalized free products", preprint.
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© 1974 Springer-Verlag
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Crowell, R.H., Smythe, N. (1974). The subgroup theorem for amalgamated free products, HNN-constructions and colimits. In: Newman, M.F. (eds) Proceedings of the Second International Conference on The Theory of Groups. Lecture Notes in Mathematics, vol 372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065176
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DOI: https://doi.org/10.1007/BFb0065176
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