Article ID Journal Published Year Pages File Type
4595475 Journal of Number Theory 2008 7 Pages PDF
Abstract

Using Faltings' theorem on the Mordell conjecture, we prove that for any prime p⩾5 and integer n⩾2, the cyclotomic symbols {a,Φn(a)} do not form a subgroup of K2(Q). This partially confirms a conjecture of Browkin.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory