Moufang Loops of Small Order
| Author | : Orin Chein |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 140 |
| Release | : 1978 |
| ISBN-10 | : 9780821821978 |
| ISBN-13 | : 0821821970 |
| Rating | : 4/5 (970 Downloads) |
Book Synopsis Moufang Loops of Small Order by : Orin Chein
Download or read book Moufang Loops of Small Order written by Orin Chein and published by American Mathematical Soc.. This book was released on 1978 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, all nonassociative Moufang loops of order [less-than or equal to symbol] 63 are found, and their properties are investigated. Each of these loops is solvable, satisfies Lagrange's Theorem, has Sylow subloops, and is isomorphic to all of its loop isotopes. All of the loops in question contain normal subgroups of small index, and some general techniques of constructing such loops are discussed.