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Ramification Theory for Extensions of Degree p

Published online by Cambridge University Press:  22 January 2016

Susan Williamson*
Affiliation:
Regis College, Weston, Massachusetts
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The notions of tame and wild ramification lead us to make the following definition.

Definition. The quotient field extension of an extension of discrete rank one valuation rings is said to be fiercely ramified if the residue class field extension has a nontrivial inseparable part.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1971

References

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