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