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- W2019072227 abstract "Let N / K be a tamely ramified abelian extension of odd degree and let G = Gal( N / K ). This paper studies the equivariant isometry class of the trace form t N / K restricted to the square root of the inverse different A N / K . The failure of A N / K to admit an orthonormal normal basis is measured by an invariant ρ N / K in the unitary class group UCl( O K G ). This paper shows that for Kummer extensions of odd prime degree, there are Stickelberger-like conditions that determine when a class in UCl( O K G ) can be realized as the ρ-invariant of some tame G -extension." @default.
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- W2019072227 date "1995-03-01" @default.
- W2019072227 modified "2023-09-27" @default.
- W2019072227 title "Trace Forms and Stickelberger Relations" @default.
- W2019072227 doi "https://doi.org/10.1006/jnth.1995.1038" @default.
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