论文标题
Vandiver通过K理论的猜想
Vandiver's Conjecture via K-theory
论文作者
论文摘要
Vandiver的猜想指出，任何Prime P不会将P-th Cyclotomic Field的最大真实子场R的类$ H（R）划分。本文的目的是证明Vandiver的猜想，其中有几个后果，包括Fermat的Great Therorem的第一个案例。主要思想在于使用代数K理论的关系和Iwasawa理论，该理论由M.Kervaire和M.P. Murthy于1977年发现。
Vandiver's conjecture states that any prime p does not divide the class number $h(R)$ of the maximal real subfield R of the p-th cyclotomic field. The aim of this paper is to prove Vandiver's conjecture, which has several consequences including the first case of Fermat's Great Theorem. The main idea lies in using relations of the algebraic K-theory and the Iwasawa theory, discovered by M.Kervaire and M.P.Murthy in 1977.
