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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 Click above image for expanded view 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;

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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Volume: 1512001; 110 pp
MSC: Primary 20; Secondary 11; 16;

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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