Indices of Principal Orders in Algebraic Number Fields
<p>Let K be an extension of Q of degree n and D<sub>K</sub> the ring of integers of K. If θ is an algebraic integer of K and K = Q(θ), then Z[θ] is a suborder of D<sub>K</sub> of finite index. This index is called the index of θ. If k is a rational integer, the numbers...
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| Format: | Others |
| Language: | en |
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1975
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| Online Access: | https://thesis.library.caltech.edu/14342/1/Knight_MJ_1975.pdf Knight, Melvin John (1975) Indices of Principal Orders in Algebraic Number Fields. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/hcvt-yx83. https://resolver.caltech.edu/CaltechTHESIS:08262021-155312274 <https://resolver.caltech.edu/CaltechTHESIS:08262021-155312274> |