Open Access
2013 Galois module structure of local unit groups
Romyar Sharifi
Algebra Number Theory 7(1): 157-191 (2013). DOI: 10.2140/ant.2013.7.157


We study the groups Ui in the unit filtration of a finite abelian extension K of p for an odd prime p. We determine explicit generators of the Ui as modules over the p-group ring of Gal(Kp). We work in eigenspaces for powers of the Teichmüller character, first at the level of the field of norms for the extension of K by p-power roots of unity and then at the level of K.


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Romyar Sharifi. "Galois module structure of local unit groups." Algebra Number Theory 7 (1) 157 - 191, 2013.


Received: 20 August 2011; Revised: 29 November 2011; Accepted: 20 February 2012; Published: 2013
First available in Project Euclid: 20 December 2017

zbMATH: 1319.11087
MathSciNet: MR3037893
Digital Object Identifier: 10.2140/ant.2013.7.157

Primary: 11SXX

Keywords: Galois module structure , Local Field , unit filtration

Rights: Copyright © 2013 Mathematical Sciences Publishers

Vol.7 • No. 1 • 2013
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