Comparison of $K$ -Theory Galois Module Structure Invariants

Comparison of $K$ -Theory Galois Module Structure Invariants

We prove that two, apparently different, class-group valued Galois module structure invariants associated to the algebraic $K$ -groups of rings of algebraic integers coincide. This comparison result is particularly important in making explicit calculations.

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Veröffentlicht in:Canadian journal of mathematics 2000-02, Vol.52 (1), p.47-91
Hauptverfasser: Chinburg, T., Kolster, M., Snaith, V. P.
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove that two, apparently different, class-group valued Galois module structure invariants associated to the algebraic $K$ -groups of rings of algebraic integers coincide. This comparison result is particularly important in making explicit calculations.
ISSN:0008-414X
1496-4279
DOI:10.4153/CJM-2000-003-7