An extension theory for a certain class of loops
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- by R. H. Bruck PDF
- Bull. Amer. Math. Soc. 57 (1951), 11-26
References
- A. A. Albert, Quasigroups. I, Trans. Amer. Math. Soc. 54 (1943), 507–519. MR 9962, DOI 10.1090/S0002-9947-1943-0009962-7
- A. A. Albert, Quasigroups. II, Trans. Amer. Math. Soc. 55 (1944), 401–419. MR 10597, DOI 10.1090/S0002-9947-1944-0010597-1
- Reinhold Baer, Erweiterung von Gruppen und ihren Isomorphismen, Math. Z. 38 (1934), no. 1, 375–416 (German). MR 1545456, DOI 10.1007/BF01170643 Reinhold Baer 2. Automorphismen von Erweiterungsgruppen, Actualités Scientifiques et Industrielles, no. 205, Paris, 1935.
- Reinhold Baer, Representations of groups as quotient groups. II. Minimal central chains of a group, Trans. Amer. Math. Soc. 58 (1945), 348–389. MR 15107, DOI 10.1090/S0002-9947-1945-0015107-1
- Grace E. Bates, Free loops and nets and their generalizations, Amer. J. Math. 69 (1947), 499–550. MR 21001, DOI 10.2307/2371882
- R. H. Bruck, Contributions to the theory of loops, Trans. Amer. Math. Soc. 60 (1946), 245–354. MR 17288, DOI 10.1090/S0002-9947-1946-0017288-3
- R. H. Bruck, On a theorem of R. Moufang, Proc. Amer. Math. Soc. 2 (1951), 144–145. MR 41839, DOI 10.1090/S0002-9939-1951-0041839-3 Max Deuring 1. Algebren, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 4, Chelsea, New York, 1948.
- Marshall Hall, Group rings and extensions. I, Ann. of Math. (2) 39 (1938), no. 1, 220–234. MR 1503400, DOI 10.2307/1968725
- Sammuel Eilenberg, Topological methods in abstract algebra. Cohomology theory of groups, Bull. Amer. Math. Soc. 55 (1949), 3–37. MR 30523, DOI 10.1090/S0002-9904-1949-09161-9
- Samuel Eilenberg and Saunders MacLane, Cohomology theory in abstract groups. I, Ann. of Math. (2) 48 (1947), 51–78. MR 19092, DOI 10.2307/1969215
- Samuel Eilenberg and Saunders MacLane, Cohomology theory in abstract groups. II. Group extensions with a non-Abelian kernel, Ann. of Math. (2) 48 (1947), 326–341. MR 20996, DOI 10.2307/1969174
- Samuel Eilenberg and Saunders MacLane, Algebraic cohomology groups and loops, Duke Math. J. 14 (1947), 435–463. MR 21939
- Ruth Moufang, Zur Struktur von Alternativkörpern, Math. Ann. 110 (1935), no. 1, 416–430 (German). MR 1512948, DOI 10.1007/BF01448037
- Hans Zassenhaus, The Theory of Groups, Chelsea Publishing Co., New York, N. Y., 1949. Translated from the German by Saul Kravetz. MR 0030947
Additional Information
- Journal: Bull. Amer. Math. Soc. 57 (1951), 11-26
- DOI: https://doi.org/10.1090/S0002-9904-1951-09430-6
- MathSciNet review: 0039715