Cornelius Greither

Cyclic Galois Extensions of Commutative Rings

• Broschiertes Buch

Produktbeschreibung

The structure theory of abelian extensions of commutativerings is a subjectwhere commutative algebra and algebraicnumber theory overlap. This exposition is aimed at readerswith some background in either of these two fields. Emphasisis given to the notion of a normal basis, which allows oneto view in a well-known conjecture in number theory(Leopoldt's conjecture) from a new angle. Methods toconstruct certain extensions quite explicitly are alsodescribed at length.

Produktdetails

• Lecture Notes in Mathematics 1534
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-56350-1
• 1992
• Seitenzahl: 156
• Erscheinungstermin: 14. Dezember 1992
• Englisch
• Abmessung: 235mm x 155mm x 9mm
• Gewicht: 246g
• ISBN-13: 9783540563501
• ISBN-10: 3540563504
• Artikelnr.: 23883124

Inhaltsangabe

Galois theory of commutative rings.- Cyclotomic descent.- Corestriction and Hilbert's Theorem 90.- Calculations with units.- Cyclic p-extensions and {ie771-}-extensions of number fields.- Geometric theory: cyclic extensions of finitely generated fields.- Cyclic Galois theory without the condition "p ?1 ? R".