Connected abelian groups in compact loops
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- by Karl Heinrich Hofmann
- Trans. Amer. Math. Soc. 104 (1962), 132-143
- DOI: https://doi.org/10.1090/S0002-9947-1962-0138700-4
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References
- G. Bol, Topologische Fragen der Differentialgeometrie 65, Gewebe und Gruppen, Math. Ann. 114 (1937), 414-431.
- Richard Hubert Bruck, A survey of binary systems, Reihe: Gruppentheorie, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0093552 L. Fuchs, Abelian groups, Hungar. Acad. Sci., Budapest, 1958.
- Karl Heinrich Hofmann, Topologische Loops mit schwachen Assoziativitätsforderungen, Math. Z. 70 (1958), 125–155 (German). MR 102573, DOI 10.1007/BF01558580
- Karl Heinrich Hofmann, Topologische distributive Doppelloops, Math. Z. 71 (1959), 36–68 (German). MR 0109857, DOI 10.1007/BF01181385
- Karl Heinrich Hofmann, Topologische Halbgruppen mit dichter submonogener Unterhalbgruppe, Math. Z. 74 (1960), 232–277 (German). MR 121431, DOI 10.1007/BF01180477
- Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. MR 0065561
- A. I. Mal′cev, Analytic loops, Mat. Sb. (N.S.) 36(78) (1955), 569–576 (Russian). MR 0069190
- Deane Montgomery and Leo Zippin, Topological transformation groups, Interscience Publishers, New York-London, 1955. MR 0073104
- Jan Mycielski, Some properties of connected compact groups, Colloq. Math. 5 (1958), 162–166. MR 100043, DOI 10.4064/cm-5-2-162-166
- L. S. Pontrjagin, Topologische Gruppen. 2, B. G. Teubner Verlagsgesellschaft, Leipzig, 1958 (German). MR 0097456
- André Weil, L’intégration dans les groupes topologiques et ses applications, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 869, Hermann & Cie, Paris, 1940 (French). [This book has been republished by the author at Princeton, N. J., 1941.]. MR 0005741
Bibliographic Information
- © Copyright 1962 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 104 (1962), 132-143
- MSC: Primary 22.05
- DOI: https://doi.org/10.1090/S0002-9947-1962-0138700-4
- MathSciNet review: 0138700