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The 2-Sylow Subgroup of the Wild Kernel of Exceptional Number Fields

✍ Scribed by Kevin Hutchinson

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
158 KB
Volume
87
Category
Article
ISSN
0022-314X

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✦ Synopsis

In this paper we derive results, for exceptional number fields, about the relationship between the wild kernel, the group of divisible elements in K 2 (F), and classgroups of cyclotomic extensions at the prime 2. We prove that the group of divisible elements in K 2 (F) is generated by Dennis Stein symbols, for any number field F which is not imaginary quadratic.

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