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Frobenius Groups and Classical Maximal Orders
Ron Brown, University of Hawaii, Manoa, HI
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Memoirs of the American Mathematical Society
2001; 110 pp; softcover
Volume: 151
ISBN-10: 0-8218-2667-0
ISBN-13: 978-0-8218-2667-6
List Price: US$53
Individual Members: US$31.80
Institutional Members: US$42.40
Order Code: MEMO/151/717
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Readership

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

Table of Contents

  • Introduction
  • Lemmas on truncated group rings
  • Groups of real quaternions
  • Proof of the classification theorem
  • Frobenius complements with core index 1
  • Frobenius complements with core index 4
  • Frobenius complements with core index 12
  • Frobenius complements with core index 24
  • Frobenius complements with core index 60
  • Frobenius complements with core index 120
  • Counting Frobenius complements
  • Maximal orders
  • Isomorphism classes of Frobenius groups with Abelian Frobenius kernel
  • Concrete constructions of Frobenius groups
  • Counting Frobenius groups with Abelian Frobenius kernel
  • Isomorphism invariants for Frobenius complements
  • Schur indices and finite subgroups of division rings
  • Bibliography
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