You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Generalization of the Aramata-Brauer Theorem
Sandra L. Rhoades
Proceedings of the American Mathematical Society
Vol. 119, No. 2 (Oct., 1993), pp. 357-364
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2159915
Page Count: 8
You can always find the topics here!Topics: Inner products, Mathematical theorems, Coordinate systems, Analytics, Real numbers, Coefficients, Algebra, Mathematical vectors
Were these topics helpful?See something inaccurate? Let us know!
Select the topics that are inaccurate.
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
The Aramata-Brauer Theorem says that the regular character minus the principal character of a finite group can be written as a positive rational linear combination of induced linear characters. In the language of Artin L-series this says that ζE(s)/ζF(s) is entire, where this is the quotient of the Dedekind ζ-functions of a Galois extension E/F of number fields. Given any subset of characters of a finite group, we will give a necessary and sufficient condition for when a character is a positive rational linear combination of characters from this specified subset. This result implies that the regular character plus or minus any irreducible character can be written as a positive rational linear combination of induced linear characters. This both generalizes and gives a new proof of the Aramata-Brauer Theorem.
Proceedings of the American Mathematical Society © 1993 American Mathematical Society