Abstract
In the context of cyclotomic fields, it is still unknown whether there exist Euler systems other than the ones derived from cyclotomic units. Nevertheless, we first give an exposition on how norm-compatible units are generated by any Euler system, following work of Coates. Then we prove that the units obtained from Euler systems and the cyclotomic units generate the same ℤ p -module for any odd prime p. The techniques adopted for the Iwasawa theoreitc proof in latter part of this article originated in Rubin’s work on main conjectures of Iwasawa theory.
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References
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© 2009 Hindustan Book Agency
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Saikia, A. (2009). On Units Generated by Euler Systems. In: Adhikari, S.D., Ramakrishnan, B. (eds) Number Theory and Applications. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-46-0_12
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DOI: https://doi.org/10.1007/978-93-86279-46-0_12
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-97-5
Online ISBN: 978-93-86279-46-0
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