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Moufang Loops of Small Order
Available Formats:
Electronic ISBN: 9781470402020
Product Code: MEMO/13/197.E
131 pp
List Price: $27.00
MAA Member Price: $24.30
AMS Member Price: $16.20
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Moufang Loops of Small Order
Available Formats:
Electronic ISBN:  9781470402020 
Product Code:  MEMO/13/197.E 
131 pp 
List Price:  $27.00 
MAA Member Price:  $24.30 
AMS Member Price:  $16.20 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 13; 1978MSC: 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. Threegenerator loops of the form $M_{2n}(G,2)$

IX. Threegenerator loops, not of the form $M_{2n}(G,2)$, which contain an element of order greater than 6

X. Threegenerator loops which contain an element of order 6 but no element of order greater than 6

XI. Threegenerator loops which contain an element of order five but no element of larger order

XII. Threegenerator loops which contain an element of order four but no element of larger order

XIII. Threegenerator loops containing no element of order greater than three

XIV. Summary


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 Table of Contents

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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. Threegenerator loops of the form $M_{2n}(G,2)$

IX. Threegenerator loops, not of the form $M_{2n}(G,2)$, which contain an element of order greater than 6

X. Threegenerator loops which contain an element of order 6 but no element of order greater than 6

XI. Threegenerator loops which contain an element of order five but no element of larger order

XII. Threegenerator loops which contain an element of order four but no element of larger order

XIII. Threegenerator loops containing no element of order greater than three

XIV. Summary
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