Subgroups of amalgamated free products
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- by Edward T. Ordman PDF
- Bull. Amer. Math. Soc. 76 (1970), 358-360
References
- Ronald Brown, Elements of modern topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1968. MR 0227979
- I. Gruschko, Über die Basen eines freien Produktes von Gruppen, Rec. Math. [Mat. Sbornik] N.S. 8 (50) (1940), 169–182 (Russian, with German summary). MR 0003412
- P. J. Higgins, Grushko’s theorem, J. Algebra 4 (1966), 365–372. MR 204505, DOI 10.1016/0021-8693(66)90027-5 4. V. Kalašnikov and A. Kuroš, Freie Produkte der Gruppen mit vereinigten Untergruppen der Zentren, Dokl. Akad. Nauk. 6 (1935), 285-286. (Russian) Zentralblatt 11, 151.
- Alexander Kurosch, Die Untergruppen der freien Produkte von beliebigen Gruppen, Math. Ann. 109 (1934), no. 1, 647–660 (German). MR 1512914, DOI 10.1007/BF01449159
- Hanna Neumann, Generalized free products with amalgamated subgroups, Amer. J. Math. 70 (1948), 590–625. MR 26997, DOI 10.2307/2372201
- John R. Stallings, A topological proof of Grushko’s theorem on free products, Math. Z. 90 (1965), 1–8. MR 188284, DOI 10.1007/BF01112046
- Daniel H. Wagner, On free products of groups, Trans. Amer. Math. Soc. 84 (1957), 352–378. MR 83992, DOI 10.1090/S0002-9947-1957-0083992-1
Additional Information
- Journal: Bull. Amer. Math. Soc. 76 (1970), 358-360
- MSC (1970): Primary 2052, 2095; Secondary 2010
- DOI: https://doi.org/10.1090/S0002-9904-1970-12477-6
- MathSciNet review: 0255691