On free products of groups
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- Trans. Amer. Math. Soc. 84 (1957), 352-378 Request permission
References
- Reinhold Baer and Friedrich Levi, Freie Produkte und ihre Untergruppen, Compositio Math. 3 (1936), 391–398 (German). MR 1556952
- Herbert Federer and Bjarni Jónsson, Some properties of free groups, Trans. Amer. Math. Soc. 68 (1950), 1–27. MR 32643, DOI 10.1090/S0002-9947-1950-0032643-4
- 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
- Marshall Hall Jr., Subgroups of free products, Pacific J. Math. 3 (1953), 115–120. MR 55346
- H. W. Kuhn, Subgroup theorems for groups presented by generators and relations, Ann. of Math. (2) 56 (1952), 22–46. MR 49888, DOI 10.2307/1969765
- 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
- A. G. Kuroš, Teoriya Grupp, OGIZ, Moscow-Leningrad, 1944 (Russian). MR 0022843
- F. W. Levi, On the number of generators of a free product, and a lemma of Alexander Kurosch, J. Indian Math. Soc. (N.S.) 5 (1941), 149–155. MR 6540
- B. H. Neumann, On the number of generators of a free product, J. London Math. Soc. 18 (1943), 12–20. MR 8809, DOI 10.1112/jlms/s1-18.1.12 J. Nielsen, Om Regning med ikke-kommutative Faktorer og dens Anvendelse i Gruppeteorien, Matematisk Tidsskrift (1921) pp. 77-94 (Danish). O. Schreier, Die Untergruppen der freien Gruppen, Abhandlungen aus dem Mathematischen Seminar Hamburg Universität vol. 5 (1926) pp. 161-183.
- Abe Shenitzer, Decomposition of a group with a single defining relation into a free product, Proc. Amer. Math. Soc. 6 (1955), 273–279. MR 69174, DOI 10.1090/S0002-9939-1955-0069174-1
- Mutuo Takahasi, Bemerkungen über den Untergruppensatz in freien Produkte, Proc. Imp. Acad. Tokyo 20 (1944), 589–594 (German). MR 14090
- B. L. van der Waerden, Free products of groups, Amer. J. Math. 70 (1948), 527–528. MR 25465, DOI 10.2307/2372196
Additional Information
- © Copyright 1957 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 84 (1957), 352-378
- MSC: Primary 20.0X
- DOI: https://doi.org/10.1090/S0002-9947-1957-0083992-1
- MathSciNet review: 0083992