On nilpotent Moufang loops with central associators

Maurizio Valsecchi

Risultato della ricerca: Article

11 Citazioni (Scopus)

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
RivistaDefault journal
Volume307, Issue 2
Stato di pubblicazionePublished - 2007
Pubblicato esternamenteYes

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Moufang Loop
Nilpotency
Cyclic group
Multiplication
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Class

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

On nilpotent Moufang loops with central associators. / Valsecchi, Maurizio.

In: Default journal, Vol. 307, Issue 2, 2007, pag. 547-564.

Risultato della ricerca: Article

Valsecchi, M 2007, 'On nilpotent Moufang loops with central associators', Default journal, vol. 307, Issue 2, pagg. 547-564.
Valsecchi, Maurizio. / On nilpotent Moufang loops with central associators. In: Default journal. 2007 ; Vol. 307, Issue 2. pagg. 547-564.
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