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Carlitz Modules and Galois Module Structure II

✍ Scribed by Akira Aiba

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
282 KB
Volume
68
Category
Article
ISSN
0022-314X

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✦ Synopsis

Let L#F be cyclotomic function fields of Carlitz. We show that if LΓ‚F is Carlitz Kummer, the integer ring O L is free over the associated order as in the classical cyclotomic Kummer extension. However, contrary to the characteristic zero case, O L is not free unless LΓ‚F is Carlitz Kummer.

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