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Moufang Loops of Small Order
 
Front Cover for 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
Front Cover for Moufang Loops of Small Order
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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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 131978
    MSC: Primary 20;
  • 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
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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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