SNOQIT I: Growth of $Λ$-modules and Kummer theory

Mathematics – Number Theory

Scientific paper

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Scientific paper

The paper contains at the end a proof of the conjecture of Gross - Kuz'min,
for CM extensions of Q. The main topic of the paper is the investigation of the
growth of order and ranks at finite levels of some Lambda modules (p-parts of
ideal class groups).

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