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On finite loops with nilpotent inner mapping groups

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Abstract

We shall show how the nilpotency class of a finite loop Q is determined by the properties of a nilpotent inner mapping group. We also show that a classical result by Baer on the structure of abelian finite capable groups holds for Moufang loops of odd order.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Oulu, Pentti Kaiteran Katu 1, PO Box 3000, 90014, University of Oulu, Finland

    Markku Niemenmaa & Miikka Rytty

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  1. Markku Niemenmaa
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  2. Miikka Rytty
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Correspondence to Miikka Rytty.

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Niemenmaa, M., Rytty, M. On finite loops with nilpotent inner mapping groups. Arch. Math. 95, 319–324 (2010). https://doi.org/10.1007/s00013-010-0175-4

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  • DOI: https://doi.org/10.1007/s00013-010-0175-4

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