Construction of Bases for the Group of Cyclotomic Units

✍ Scribed by Marc Conrad

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 200 KB
• Volume: 81
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1999.2443

✦ Synopsis

Subject of investigation is the construction of a basis B n for the group of cyclotomic units of the nth cyclotomic field. These bases have the property that B d B n for d | n. For this purpose the notion of weak _-bases of a module with an involution operating on it is introduced. The weak _-basis of a special module then leads via explicit given isomorphisms to the desired bases for the group of cyclotomic units.