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tate kernel

Journal of K-Theory (1)

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Norm index formula for the Tate kernels and applications
J. Assim, A. Movahhedi
Journal:

Journal of K-Theory / Volume 9 / Issue 2 / April 2012

Published online by Cambridge University Press:

24 May 2011, pp. 359-383

Print publication:

April 2012
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Let p be an odd prime and L/F a p-extension of number fields with Galois group G. The aim of this paper is to provide answers to a question of Kahn concerning lower bounds for the order of the kernel and cokernel of the functorial map K2F → K2LG. To this end, we first determine a norm index formula for generalized Tate kernels and then express our lower bounds in terms of the ramification in L/F.