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Bruck, R. H.

An extension theory for a certain class of loops. (English) Zbl 0043.02002

Bull. Am. Math. Soc. 57, 11-26 (1951).
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Keywords:

group theory
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\textit{R. H. Bruck}, Bull. Am. Math. Soc. 57, 11--26 (1951; Zbl 0043.02002)
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References:

[1] A. A. Albert, Quasigroups. I, Trans. Amer. Math. Soc. 54 (1943), 507 – 519. · Zbl 0063.00039
[2] A. A. Albert, Quasigroups. II, Trans. Amer. Math. Soc. 55 (1944), 401 – 419. · Zbl 0063.00042
[3] Reinhold Baer, Erweiterung von Gruppen und ihren Isomorphismen, Math. Z. 38 (1934), no. 1, 375 – 416 (German). · Zbl 0009.01101
[4] Reinhold Baer, Representations of groups as quotient groups. II. Minimal central chains of a group, Trans. Amer. Math. Soc. 58 (1945), 348 – 389. · Zbl 0061.02703
[5] Grace E. Bates, Free loops and nets and their generalizations, Amer. J. Math. 69 (1947), 499 – 550. · Zbl 0035.01202
[6] R. H. Bruck, Contributions to the theory of loops, Trans. Amer. Math. Soc. 60 (1946), 245 – 354. · Zbl 0061.02201
[7] R. H. Bruck, On a theorem of R. Moufang, Proc. Amer. Math. Soc. 2 (1951), 144 – 145. · Zbl 0042.25302
[8] Marshall Hall, Group rings and extensions. I, Ann. of Math. (2) 39 (1938), no. 1, 220 – 234. · Zbl 0018.14506
[9] Sammuel Eilenberg, Topological methods in abstract algebra. Cohomology theory of groups, Bull. Amer. Math. Soc. 55 (1949), 3 – 37. · Zbl 0031.34202
[10] Samuel Eilenberg and Saunders MacLane, Cohomology theory in abstract groups. I, Ann. of Math. (2) 48 (1947), 51 – 78. · Zbl 0029.34001
[11] 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. · Zbl 0029.34101
[12] Samuel Eilenberg and Saunders MacLane, Algebraic cohomology groups and loops, Duke Math. J. 14 (1947), 435 – 463. · Zbl 0029.34102
[13] Ruth Moufang, Zur Struktur von Alternativkörpern, Math. Ann. 110 (1935), no. 1, 416 – 430 (German). · Zbl 0010.00403
[14] Hans Zassenhaus, The Theory of Groups, Chelsea Publishing Company, New York, N. Y., 1949. Translated from the German by Saul Kravetz. · Zbl 0041.00704
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