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Extension of local loop isomorphisms. (English) Zbl 0737.53016

Summary: The paper contains the proof of the existence and uniqueness of the global extension of analytical local loop isomorphisms. The result is applied to the proof of the one-to-one correspondence between simply connected Moufang loops and Malcev algebras and to a global description of complete Moufang 3-webs.

MSC:

53A60 Differential geometry of webs
20N05 Loops, quasigroups
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References:

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