Mathematics – Number Theory
Scientific paper
2007-04-30
Mathematics
Number Theory
Scientific paper
Ramification invariants are necessary, but not in general sufficient, to determine the Galois module structure of ideals in local number field extensions. This insufficiency is associated with elementary abelian extensions, where one can define a refined ramification filtration -- one with more ramification breaks [JNTB 17 (2005)]. The first refined break number comes from the usual ramification filtration and is therefore necessary. Here we study the second refined break number.
Byott Nigel P.
Elder Griffith G.
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