Browsing by Subject "Kummer extensions"
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Genus fields of cyclic l-extensions of rational function fields
VICTOR MANUEL BAUTISTA ANCONA; MARTHA RZEDOWSKI CALDERON; GABRIEL DANIEL VILLA SALVADORWe give a construction of genus fields for Kummer cyclic l–extensions of rational congruence function fields, l a prime number. First we find this genus field for a field contained in a cyclotomic function field using ...