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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

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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