## A new algorithm for the computation of logarithmic $$\ell$$-class groups of number fields.(English)Zbl 1148.11060

Summary: We present an algorithm for the computation of logarithmic $$\l$$-class groups of number fields. Our principal motivation is the effective determination of the $$\l$$-rank of the wild kernel in the $$K$$-theory of number fields.

### MSC:

 11Y40 Algebraic number theory computations 11R70 $$K$$-theory of global fields 11R29 Class numbers, class groups, discriminants

### Keywords:

$$K$$-theory; wild kernel; logarithmic class group; computation
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