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Frobenius groups and classical maximal orders
About this Title
Ron Brown
Publication: Memoirs of the American Mathematical Society
Publication Year:
2001; Volume 151, Number 717
ISBNs: 978-0-8218-2667-6 (print); 978-1-4704-0310-2 (online)
DOI: https://doi.org/10.1090/memo/0717
MathSciNet review: 1828640
MSC: Primary 20E34; Secondary 11R54, 16H05, 16K20, 20B20
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