On nilpotent Moufang loops with central associators

Maurizio Valsecchi

Risultato della ricerca: Article

Abstract

n this paper, we investigate Moufang p-loops of nilpotency class at least three for p>3. The smallest examples have order p5 and satisfy the following properties: (1) They are of maximal nilpotency class, (2) their associators lie in the center, and (3) they can be constructed using a general form of the semidirect product of a cyclic group and a group of maximal class. We present some results concerning loops with these properties. As an application, we classify proper Moufang loops of order p^5, p>3, and collect information on their multiplication groups.
Lingua originaleEnglish
pagine (da-a)547-564
Numero di pagine18
RivistaJournal of Algebra
Volume307, Issue 2
Stato di pubblicazionePublished - 2007
Pubblicato esternamenteYes

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  • Cita questo

    Valsecchi, M. (2007). On nilpotent Moufang loops with central associators. Journal of Algebra, 307, Issue 2, 547-564.