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Group rings, crossed products and Galois theory

A co-publication of the AMS and CBMS
Available Formats:
Electronic ISBN: 978-0-8218-3406-0
Product Code: CBMS/64.E
71 pp
List Price: $20.00 Individual Price:$16.00
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Group rings, crossed products and Galois theory
A co-publication of the AMS and CBMS
Available Formats:
 Electronic ISBN: 978-0-8218-3406-0 Product Code: CBMS/64.E 71 pp
 List Price: $20.00 Individual Price:$16.00
• Book Details

CBMS Regional Conference Series in Mathematics
Volume: 641986
MSC: Primary 16;

For readers with a basic graduate level background in algebra, these ten articles provide a readable introduction to three major interrelated subjects of noncommutative algebra. The theme is the interplay between group theory and ring theory, dealing specifically with group rings, crossed products, and the Galois theory of rings. The author has carefully included most definitions, to keep the required background minimal. Furthermore, each article contains a selection of results on the given topic, a limited number of proofs or sketches, and at least a few open problems.

• Chapters
• 1. $\Delta$-Methods in Group Rings
• 2. The Jacobson Radical of Group Rings
• 3. Zero Divisors in Group Rings
• 4. Polycyclic Group Rings
• 5. Crossed Products of Finite Groups
• 6. Crossed Products of Infinite Groups
• 7. Computing the Symmetric Ring of Quotients
• 8. Galois Theory and Crossed Products
• 9. Galois Theory of Prime Rings
• 10. Rings and Fixed Rings
• Request Review Copy
Volume: 641986
MSC: Primary 16;

For readers with a basic graduate level background in algebra, these ten articles provide a readable introduction to three major interrelated subjects of noncommutative algebra. The theme is the interplay between group theory and ring theory, dealing specifically with group rings, crossed products, and the Galois theory of rings. The author has carefully included most definitions, to keep the required background minimal. Furthermore, each article contains a selection of results on the given topic, a limited number of proofs or sketches, and at least a few open problems.

• 1. $\Delta$-Methods in Group Rings