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AbstractSubject of investigation is the construction of a basis Bn for the group of cyclotomic units of the nth cyclotomic field. These bases have the property that Bd⊆Bn for d ∣ n. For this purpose the notion of weak σ-bases of a module with an involution operating on it is introduced. The weak σ-basis of a special module then leads via explicit given isomorphisms to the desired bases for the group of cyclotomic units.
CitationConrad, M., (2000) 'Construction of Bases for the Group of Cyclotomic Units', Journal of Number Theory, 81 (1), pp. 1-15
JournalJournal of Number Theory