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Mutually prime sequences of inner functions and the ranks of subspaces over the bidisk

โœ Scribed by Kei Ji Izuchi, Kou Hei Izuchi, Yuko Izuchi


Book ID
113013924
Publisher
Springer
Year
2012
Tongue
English
Weight
200 KB
Volume
98
Category
Article
ISSN
0003-889X

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The prime at infinity and the rank of th
โœ Allison M. Pacelli ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 152 KB

In this paper we construct, for any integers m and n, and 2 g m -1, infinitely many function fields K of degree m over F(T ) such that the prime at infinity splits into exactly g primes in K and the ideal class group of K contains a subgroup isomorphic to (Z/nZ) m-g . This extends previous results o