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Anderson's Module for Cyclotomic Fields of Prime Conductor

โœ Scribed by Pietro Cornacchia

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
420 KB
Volume
67
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

Recently G. Anderson introduced an explicit Galois module A that is closely related to the ideal class group of a cyclotomic field. We study A for a cyclotomic field L of prime conductor. We prove that A has the same Tate cohomology groups as the ideal class group of L and we show that the dual of A is a cyclic Galois module. In addition, we determine the structure of the 2-part of A for all L of conductor less than 10000.

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