On the arithmetic of cyclotomic fields and the K-theory of Q, by Grzegorz Banaszak and Wojciech Gajda

In the present work we investigate divisible elements in the group K_2n(Q) in connection with conjectures of Kummer-Vandiver and Iwasawa. The main result of the paper gives a description of divisible elements in terms of special elements in K-theory. We also define a divisibility height function and prove its basic properties.

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