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Moufang loops of small order
About this Title
Orin Chein
Publication: Memoirs of the American Mathematical Society
Publication Year:
1978; Volume 13, Number 197
ISBNs: 978-0-8218-2197-8 (print); 978-1-4704-0202-0 (online)
DOI: https://doi.org/10.1090/memo/0197
MathSciNet review: 0466391
Table of Contents
Chapters
- Introduction
- I. Background and notation
- II. Groups and loops of order $\leq 31$
- III. Some helpful construction theorems
- IV. Properties of loops satisfying the hypotheses of Theorem 1
- V. Some results on isomorphism
- VI. The construction process
- VII. Loops requiring four or more generators
- VIII. Three-generator loops of the form $M_{2n}(G,2)$
- IX. Three-generator loops, not of the form $M_{2n}(G,2)$, which contain an element of order greater than 6
- X. Three-generator loops which contain an element of order 6 but no element of order greater than 6
- XI. Three-generator loops which contain an element of order five but no element of larger order
- XII. Three-generator loops which contain an element of order four but no element of larger order
- XIII. Three-generator loops containing no element of order greater than three
- XIV. Summary