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On nilpotency of the multiplication group of an A-loop. (Russian) Zbl 0664.20043

Let Q be an A-loop (i.e. every inner mapping of Q is an automorphism). Then Q is centrally nilpotent of class at most n iff the multiplication group of Q is nilpotent of class at most 2n-1.
Reviewer: T.Kepka

MSC:

20N05 Loops, quasigroups
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