Leopoldt's conjecture
= Leopoldt's conjecture
{wiki=Leopoldt's_conjecture}
Leopoldt's conjecture is a conjecture in the field of number theory, particularly concerning \\( p \\)-adic numbers and the study of class fields. Specifically, it deals with the behavior of abelian extensions of number fields in relation to their \\( p \\)-adic completions and \\( p \\)-adic class groups.