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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

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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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 151; 2001; 110 ppMSC: Primary 20; Secondary 11; 16;Readership
Graduate students and research mathematicians interested in group theory and generalizations.
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Table of Contents
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Chapters
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1. Introduction
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2. Lemmas on truncated group rings
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3. Groups of real quaternions
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4. Proof of the classification theorem
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5. Frobenius complements with core index 1
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6. Frobenius complements with core index 4
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7. Frobenius complements with core index 12
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8. Frobenius complements with core index 24
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9. Frobenius complements with core index 60
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10. Frobenius complements with core index 120
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11. Counting Frobenius complements
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12. Maximal orders
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13. Isomorphism classes of Frobenius groups with Abelian Frobenius kernel
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14. Concrete constructions of Frobenius groups
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15. Counting Frobenius groups with Abelian Frobenius kernel
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16. Isomorphism invariants for Frobenius complements
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17. Schur indices and finite subgroups of division rings
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- Book Details
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Volume: 151; 2001; 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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