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A class of simple Moufang loops. (English) Zbl 0070.25302


MSC:

20N05 Loops, quasigroups

Keywords:

group theory
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References:

[1] A. A. Albert, On simple alternative rings, Canadian J. Math. 4 (1952), 129 – 135. · Zbl 0046.25403
[2] R. H. Bruck, Pseudo-automorphisms and Moufang loops, Proc. Amer. Math. Soc. 3 (1952), 66 – 72. · Zbl 0046.01803
[3] R. H. Bruck and Erwin Kleinfeld, The structure of alternative division rings, Proc. Amer. Math. Soc. 2 (1951), 878 – 890. · Zbl 0044.02205
[4] Jean Dieudonné, Les déterminants sur un corps non commutatif, Bull. Soc. Math. France 71 (1943), 27 – 45 (French). · Zbl 0028.33904
[5] -, Sur les groupes classiques, Actualités Scientifique et Industrielles, no. 1040, 1948. · Zbl 0037.01304
[6] W. I. Smirnow, Lehrgang der höheren Mathematik. Teil III, 1, Deutscher Verlag der Wissenschaften, Berlin, 1954 (German). · Zbl 0052.05401
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