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arXiv math/0411315math.COmath.GR
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Direct construction of code loops

Gabor P. Nagy

英文摘要:

Code loops were introduced by R. L. Griess. R.L. Griess and T. Hsu gave methods to construct the corresponding code loop from any given doubly even binary code; both these methods used some kind of induction. In this paper, we present a global construction of the loop, where we apply the correspondance between the concepts of Moufang loops and groups with triality.

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