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Frobenius Groups and Classical Maximal Orders
 
Ron Brown University of Hawaii, Manoa, HI
Front Cover for Frobenius Groups and Classical Maximal Orders
Available Formats:
Electronic ISBN: 978-1-4704-0310-2
Product Code: MEMO/151/717.E
List Price: $56.00
MAA Member Price: $50.40
AMS Member Price: $33.60
Front Cover for Frobenius Groups and Classical Maximal Orders
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  • Front Cover for Frobenius Groups and Classical Maximal Orders
  • Back Cover for Frobenius Groups and Classical Maximal Orders
Frobenius Groups and Classical Maximal Orders
Ron Brown University of Hawaii, Manoa, HI
Available Formats:
Electronic ISBN:  978-1-4704-0310-2
Product Code:  MEMO/151/717.E
List Price: $56.00
MAA Member Price: $50.40
AMS Member Price: $33.60
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1512001; 110 pp
    MSC: Primary 20; Secondary 11; 16;
    Readership

    Graduate students and research mathematicians interested in group theory and generalizations.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Lemmas on truncated group rings
    • 3. Groups of real quaternions
    • 4. Proof of the classification theorem
    • 5. Frobenius complements with core index 1
    • 6. Frobenius complements with core index 4
    • 7. Frobenius complements with core index 12
    • 8. Frobenius complements with core index 24
    • 9. Frobenius complements with core index 60
    • 10. Frobenius complements with core index 120
    • 11. Counting Frobenius complements
    • 12. Maximal orders
    • 13. Isomorphism classes of Frobenius groups with Abelian Frobenius kernel
    • 14. Concrete constructions of Frobenius groups
    • 15. Counting Frobenius groups with Abelian Frobenius kernel
    • 16. Isomorphism invariants for Frobenius complements
    • 17. Schur indices and finite subgroups of division rings
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Volume: 1512001; 110 pp
MSC: Primary 20; Secondary 11; 16;
Readership

Graduate students and research mathematicians interested in group theory and generalizations.

  • Chapters
  • 1. Introduction
  • 2. Lemmas on truncated group rings
  • 3. Groups of real quaternions
  • 4. Proof of the classification theorem
  • 5. Frobenius complements with core index 1
  • 6. Frobenius complements with core index 4
  • 7. Frobenius complements with core index 12
  • 8. Frobenius complements with core index 24
  • 9. Frobenius complements with core index 60
  • 10. Frobenius complements with core index 120
  • 11. Counting Frobenius complements
  • 12. Maximal orders
  • 13. Isomorphism classes of Frobenius groups with Abelian Frobenius kernel
  • 14. Concrete constructions of Frobenius groups
  • 15. Counting Frobenius groups with Abelian Frobenius kernel
  • 16. Isomorphism invariants for Frobenius complements
  • 17. Schur indices and finite subgroups of division rings
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