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Abstract: In the context of cyclotomic fields, it is still unknown whether there existEuler systems other than the ones derived from cyclotomic units. Nevertheless,we first give an exposition on how norm-compatible units are generated by anyEuler system, following work of Coates. Then we prove that the units obtainedfrom Euler systems and the cyclotomic units generate the same$\mathbb{Z} {p}$-module for any odd prime $p$. The techniques adopted for theIwasawa theoretic proof in latter part of this article originated in Rubin-swork on main conjectures of Iwasawa theory.



Author: Anupam Saikia

Source: https://arxiv.org/



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