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Twelve Sporadic Groups (Springer Monographs in Mathematics)
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The finite simple groups come in several infinite families (alternating groups and the groups of Lie type) plus 26 sporadic groups. The sporadic groups, discovered between 1861 and 1975, exist because of special combinatorial or arithmetic circumstances. A single theme does not capture them all. Nevertheless, certain themes dominate. The 20 sporadics involved in the Monster, the largest sporadic group, constitute the Happy Family. A leisurely and rigorous study of two of their three generations is the purpose of this book. The level is suitable for graduate students with little background in general finite group theory, established mathematicians and mathematical physicists.
Book Info
Provides an extensive, leisurely yet rigorous treatment of the twelve sporadic simple groups. Discusses coding and lattice theory, starting from basic definitions to proving the existence and uniqueness theorems for the Golay code and Leech lattice. DLC: Finite simple groups.
The finite simple groups come in several infinite families (alternating groups and the groups of Lie type) plus 26 sporadic groups. The sporadic groups, discovered between 1861 and 1975, exist because of special combinatorial or arithmetic circumstances. A single theme does not capture them all. Nevertheless, certain themes dominate. The 20 sporadics involved in the Monster, the largest sporadic group, constitute the Happy Family. A leisurely and rigorous study of two of their three generations is the purpose of this book. The level is suitable for graduate students with little background in general finite group theory, established mathematicians and mathematical physicists.
Book Info
Provides an extensive, leisurely yet rigorous treatment of the twelve sporadic simple groups. Discusses coding and lattice theory, starting from basic definitions to proving the existence and uniqueness theorems for the Golay code and Leech lattice. DLC: Finite simple groups.
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Inside This Book Citations: This book cites 23 books | 32 books that cite this book Explore: Citations | Concordance | Text Stats Key Phrases - CAPs: Happy Family Browse Sample Pages: Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me! |
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Inside This Book
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First Sentence:
We discuss the background in group theory used in this book and present the notation and conventions in force. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Happy Family New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me!
We discuss the background in group theory used in this book and present the notation and conventions in force. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Happy Family New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 23
books:
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32
books
cite this book:
See all 32 books citing this book
- Group Theory: Essays for Philip Hall by K. W. Gruenberg in Back Matter
- Geometric Algebra (Wiley Classics Library) by E. Artin in Back Matter
- Linear Groups with an Exposition of the Galois Field Theory by Leonard E. Dickson in Back Matter
- Theory of Groups of Finite Order (Dover Phoenix Editions) by W. Burnside in Back Matter
- A Course in Homological Algebra (Graduate Texts in Mathematics) by Peter J. Hilton in Back Matter
See all 23 books this book cites
- Lie Algebras and Algebraic Groups (Springer Monographs in Mathematics) by Patrice Tauvel in Back Matter
- Geometry of Sporadic Groups: Volume 2, Representations and Amalgams (Encyclopedia of Mathematics and its Applications) by A. A. Ivanov in Back Matter
- The Development of Prime Number Theory : From Euclid to Hardy and Littlewood by Wladyslaw Narkiewicz in Back Matter
- Classification Algorithms for Codes and Designs (Algorithms and Computation in Mathematics) by Petteri Kaski in Back Matter
- Finite Model Theory (Springer Monographs in Mathematics) by Heinz-Dieter Ebbinghaus in Back Matter
See all 32 books citing this book