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Artin's L-functions and one-dimensional characters

โœ Scribed by Florin Nicolae


Book ID
104024782
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
98 KB
Volume
124
Category
Article
ISSN
0022-314X

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โœฆ Synopsis


Let K/Q be a finite Galois extension with the Galois group G, let ฯ‡ 1 , . . . , ฯ‡ r be the irreducible non-trivial characters of G, and let A be the C-algebra generated by the Artin L-functions L(s, ฯ‡ 1 ), . . . , L(s, ฯ‡ r ). Let B be the subalgebra of A generated by the L-functions corresponding to induced characters of non-trivial one-dimensional characters of subgroups of G. We prove: (1) B is of Krull dimension r and has the same quotient field as A;


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