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On finite loops and their inner mapping groups. (English) Zbl 1101.20045
Let $$Q$$ be a finite loop. The author proves that the inner mapping group of $$Q$$ cannot be isomorphic to a product of a dihedral 2-group with an odd order cyclic group. His methods are group theoretic and he uses a number of earlier results.
##### MSC:
 20N05 Loops, quasigroups 20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, $$\pi$$-length, ranks
##### Keywords:
finite loops; inner mapping groups; connected transversals
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