Let G be a finite group and let k be a field of char(k) not equal 2. We explicitly describe the set of trace forms of G-Galois algebras over k when the virtual 2-cohomological dimension vcd(2)(k) of k is at most 1. For fields with vcd(2)(k) less than or equal to 2 we give a cohomological criterion for the orthogonal sum of a trace form of a G-Galois algebra with itself to be isomorphic to another such form.

Bayer-Fluckiger, E., Monsurro, M., Parimala, R., & Schoof, R. (2004). Trace forms of G-Galois algebras in virtual cohomological dimension 1 and 2. PACIFIC JOURNAL OF MATHEMATICS, 217(1), 29-43.

Trace forms of G-Galois algebras in virtual cohomological dimension 1 and 2

SCHOOF, RENATUS JOHANNES
2004

Abstract

Let G be a finite group and let k be a field of char(k) not equal 2. We explicitly describe the set of trace forms of G-Galois algebras over k when the virtual 2-cohomological dimension vcd(2)(k) of k is at most 1. For fields with vcd(2)(k) less than or equal to 2 we give a cohomological criterion for the orthogonal sum of a trace form of a G-Galois algebra with itself to be isomorphic to another such form.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/03 - Geometria
English
DUAL NORMAL BASES; CLASSICAL-GROUPS; FIELDS
http://www.mat.uniroma2.it/~schoof/marina2.pdf
Bayer-Fluckiger, E., Monsurro, M., Parimala, R., & Schoof, R. (2004). Trace forms of G-Galois algebras in virtual cohomological dimension 1 and 2. PACIFIC JOURNAL OF MATHEMATICS, 217(1), 29-43.
Bayer Fluckiger, E; Monsurro, M; Parimala, R; Schoof, Rj
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/31433
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