A series of maximal independent systems of cyclotomic units for cyclotomic functionfields and their subfields are constructed as an analogue of Ramachandra’s and Levesque’scyclotomic unit systems in cyclotomic numbe...A series of maximal independent systems of cyclotomic units for cyclotomic functionfields and their subfields are constructed as an analogue of Ramachandra’s and Levesque’scyclotomic unit systems in cyclotomic number fields. The indexes of subgroups generated bythese unit systems in the whole unit groups are calculated and compared.展开更多
文摘A series of maximal independent systems of cyclotomic units for cyclotomic functionfields and their subfields are constructed as an analogue of Ramachandra’s and Levesque’scyclotomic unit systems in cyclotomic number fields. The indexes of subgroups generated bythese unit systems in the whole unit groups are calculated and compared.
