Kummer theory for finite fields and p-adic fields

Reference : Kummer theory for finite fields and p-adic fields


	Document type :	E-prints/Working papers : First made available on ORBilu
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/50285

Title :	Kummer theory for finite fields and p-adic fields
Language :	English
Author, co-author :	Perissinotto, Flavio [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
	Perucca, Antonella [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
Publication date :	Undated
Peer reviewed :	No
Keywords :	[en] Kummer theory ; Finite fields ; p-adic fields
Abstract :	[en] Let K be a finite field or a finite extension of Qp for some prime number p. If G is a finitely generated subgroup of K*, then we can consider the degree of the cyclotomic-Kummer extension K(\zeta_N, \sqrt[n]{G})/K, where n divides N. If K is a finite field, then we give a closed formula for the degree, while if K is a p-adic field, then we describe a strategy to compute the degree.
Permalink :	http://hdl.handle.net/10993/50285

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