|
|
DOI Prefix 10.20431 |
Information
Journal Policies
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.
Download Full paper: Click Here