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  DOI Prefix   10.20431


 

International Journal of Scientific and Innovative Mathematical Research
Volume 6, Issue 9, 2018, Page No: 9-15

On the Existence of Nontrivial Nucleus and on the Nilpotence of Moufang Loops of Odd Order

Piroska Csorgo

Institute of Mathematics, Eszterhazy Karoly University Eger, Leanyka, Hungary.

Citation : Piroska Csorgo, On the Existence of Nontrivial Nucleus and on the Nilpotence of Moufang Loops of Odd Order International Journal of Scientific and Innovative Mathematical Research 2018 , 6(9) : 9-15.

Abstract

We give a necessary and sufficient condition for the existence of non- trivial nucleus in Moufang loops of odd order. Assuming the property [A, B] ≤ Z(InnQ) we study the relation of the nilpotence of Moufang loops of odd order with the existence of nontrivial nucleus.


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