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Moufang Loops of Small Order

Available Formats:
Electronic ISBN: 978-1-4704-0202-0
Product Code: MEMO/13/197.E
131 pp
List Price: $27.00 MAA Member Price:$24.30
AMS Member Price: $16.20 Click above image for expanded view Moufang Loops of Small Order Available Formats:  Electronic ISBN: 978-1-4704-0202-0 Product Code: MEMO/13/197.E 131 pp  List Price:$27.00 MAA Member Price: $24.30 AMS Member Price:$16.20
• Book Details

Memoirs of the American Mathematical Society
Volume: 131978
MSC: Primary 20;

• 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
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Volume: 131978
MSC: Primary 20;
• 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
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