On p-Class Groups and p-Class Field Towers
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Now we apply the results of Chapter 11 to the p-class group, i.e., the p-Sylow subgroup of the ideal class group, and to the p-class field tower, that is, the maximal unramified p-extension. We restrict ourselves to algebraic number fields.
KeywordsNormal Subgroup Class Number Minimal System Class Field Theory Cyclic Extension
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