Frobenius groups and classical maximal orders / Ron Brown.

Format:

Book

Author/Creator:

Brown, Ron, 1943- author.

Series:

Memoirs of the American Mathematical Society ; no. 717.

Memoirs of the American Mathematical Society, 0065-9266 ; number 717

Language:

English

Subjects (All):

Frobenius groups.

Physical Description:

1 online resource (125 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2001.

Language Note:

English

Summary:

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

Contents:

""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Lemmas on Truncated Group Rings""; ""Chapter 3. Groups of Real Quaternions""; ""Chapter 4. Proof of the Classification Theorem""; ""Chapter 5. Frobenius complements with core index 1""; ""Chapter 6. Frobenius complements with core index 4""; ""Chapter 7. Frobenius complements with core index 12""; ""Chapter 8. Frobenius complements with core index 24""; ""Chapter 9. Frobenius complements with core index 60""; ""Chapter 10. Frobenius complements with core index 120""; ""Chapter 11. Counting Frobenius Complements""

""Chapter 12. Maximal Orders""""Chapter 13. Isomorphism Classes of Frobenius Groups with Abelian Frobenius Kernel""; ""Chapter 14. Concrete Constructions of Frobenius Groups""; ""Chapter 15. Counting Frobenius Groups with Abelian Frobenius Kernel""; ""Chapter 16. Isomorphism Invariants for Frobenius Complements""; ""Chapter 17. Schur Indices and Finite Subgroups of Division Rings""; ""Bibliography""

Notes:

"Volume 151, number 717 (third of 5 numbers)."

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0310-2