Sporadic groups /

Sporadic groups is the first step in a program to provide a uniform, self-contained treatment of the foundational material on the sporadic finite simple groups. The classification of the finite simple groups is one of the premier achievements of modern mathematics. The classification demonstrates th...

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Bibliographic Details
Main Authors: Aschbacher, Michael, Aschbacher, Michael, 1944-
Format: Book
Language:English
Published: Cambridge ; New York : Cambridge University Press, 1994
Cambridge [England] ; New York : 1994
Cambridge [England] ; New York : 1994
Series:Cambridge tracts in mathematics ; 104
Cambridge tracts in mathematics 104
Cambridge tracts in mathematics ; 104
Subjects:
Table of Contents:
  • 1. Preliminary Results
  • 2. 2-Structure in Finite Groups
  • 3. Algebras, Codes, and Forms
  • 4. Symplectic 2-Loops
  • 5. The Discovery, Existence, and Uniqueness of the Sporadics
  • 6. The Mathieu Groups, Their Steiner Systems, and the Golay Code
  • 7. The Geometry and Structure of M[subscript 24]
  • 8. The Conway Groups and the Leech Lattice
  • 9. Subgroups of [actual symbol not reproducible]
  • 10. The Griess Algebra and the Monster
  • 11. Subgroups of Groups of Monster Type
  • 12. Coverings of Graphs and Simplicial Complexes
  • 13. The Geometry of Amalgams
  • 14. The Uniqueness of Groups of Type M[subscript 24], He, and L[subscript 5](2)
  • 15. The Group U[subscript 4](3)
  • 16. Groups of Conway, Suzuki, and Hall-Janko Type
  • 17. Subgroups of Prime Order in Five Sporadic Groups
  • 1 Preliminary Results
  • 2. 2-Structure in Finite Groups
  • 3. Algebras, Codes, and Forms
  • 4. Symplectic 2-Loops
  • 5. The Discovery, Existence, and Uniqueness of the Sporadics
  • 6. The Mathieu Groups, Their Steiner Systems, and the Golay Code
  • 7. The Geometry and Structure of M[subscript 24]
  • 8. The Conway Groups and the Leech Lattice
  • 9. Subgroups of [actual symbol not reproducible]
  • 10. The Griess Algebra and the Monster
  • 11. Subgroups of Groups of Monster Type
  • 12. Coverings of Graphs and Simplicial Complexes
  • 13. The Geometry of Amalgams
  • 14. The Uniqueness of Groups of Type M[subscript 24], He, and L[subscript 5](2)
  • 15. The Group U[subscript 4](3)
  • 16. Groups of Conway, Suzuki, and Hall-Janko Type
  • 17. Subgroups of Prime Order in Five Sporadic Groups.