## Finite loops with nilpotent inner mapping groups are centrally nilpotent.(English)Zbl 1167.20039

The purpose of the author is to show: if $$Q$$ is a finite loop and $$I(Q)$$ is Abelian or a dihedral 2-group, then $$Q$$ is a centrally nilpotent loop. An important role in the proof of the author is played by a result of M. Mazur [J. Group Theory 10, No. 2, 195-203 (2007; Zbl 1150.20010)].

### MSC:

 20N05 Loops, quasigroups 20D15 Finite nilpotent groups, $$p$$-groups

Zbl 1150.20010
Full Text:

### References:

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