Subgroups of free products with amalgamated subgroups: A topological approach
HTML articles powered by AMS MathViewer
- by J. C. Chipman PDF
- Trans. Amer. Math. Soc. 181 (1973), 77-87 Request permission
Abstract:
The structure of an arbitrary subgroup of the limit of a group system is shown to be itself the limit of a group system, the elements of which can be described in terms of subgroups of the original group system.References
- J. C. Chipman, van Kampen’s theorem for $n$-stage covers, Trans. Amer. Math. Soc. 192 (1974), 357–370. MR 339122, DOI 10.1090/S0002-9947-1974-0339122-1
- Richard H. Crowell and Ralph H. Fox, Introduction to knot theory, Ginn and Company, Boston, Mass., 1963. Based upon lectures given at Haverford College under the Philips Lecture Program. MR 0146828
- 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. MR 260879, DOI 10.1090/S0002-9947-1970-0260879-9
- William S. Massey, Algebraic topology: An introduction, Harcourt, Brace & World, Inc., New York, 1967. MR 0211390
- Hanna Neumann, Generalized free products with amalgamated subgroups. II, Amer. J. Math. 71 (1949), 491–540. MR 30522, DOI 10.2307/2372346
- Edward T. Ordman, On subgroups of amalgamated free products, Proc. Cambridge Philos. Soc. 69 (1971), 13–23. MR 276355, DOI 10.1017/s0305004100046387 J. Serre, Groupes discrets, Notes written at Collège de France, 1968/69.
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 181 (1973), 77-87
- MSC: Primary 20E30; Secondary 55A05
- DOI: https://doi.org/10.1090/S0002-9947-1973-0417294-7
- MathSciNet review: 0417294