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Minimal Conductors of Kummer Extensions by Roots of Unit Elements


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1 Department of Mathematics, University of Arizona, Tucson, AZ 85721, United States
     

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We consider the question of finding conductors of degree pn Kummer extensions of a finite extension F of Qppn). It appears to be a difficult question to attain a reasonable recipe for these conductors in terms of those elements α ϵ F× with pn th ischolar_main defining the Kummer extensions.
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  • Minimal Conductors of Kummer Extensions by Roots of Unit Elements

Abstract Views: 204  |  PDF Views: 0

Authors

Romyar T. Sharifi
Department of Mathematics, University of Arizona, Tucson, AZ 85721, United States

Abstract


We consider the question of finding conductors of degree pn Kummer extensions of a finite extension F of Qppn). It appears to be a difficult question to attain a reasonable recipe for these conductors in terms of those elements α ϵ F× with pn th ischolar_main defining the Kummer extensions.