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arXiv · 0904.3300

$p$-adic Cocycles and their Regulator Maps

Zacky Choo·Victor Snaith
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Abstract

We derive a power series formula for the $p$-adic regulator on the higher dimensional algebraic K-groups of number fields. This formula is designed to be well suited to computer calculations and to reduction modulo powers of $p$. In addition we describe a series of regulator questions concerning higher dimensional K-theoretic analogues of conjectures of Gross and Serre.

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Zacky Choo, Victor Snaith. 2009-04-21. $p$-adic Cocycles and their Regulator Maps. https://arxiv.org/abs/0904.3300

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