On the primitive roots of residue field of algebraic number field
Let K denote an algebraic number field and OK its ring of integers. For an ideal U of OK, an elementg ε OK is said to be primitive root modulo U provided the residue class g + U generates the multiplicative group (OK + U)x. In this paper we wish to determine conditions when an ideal of OK possesse...
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| Format: | text |
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Animo Repository
2016
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| Online Access: | https://animorepository.dlsu.edu.ph/faculty_research/6284 |
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| Institution: | De La Salle University |
| Summary: | Let K denote an algebraic number field and OK its ring of integers. For an ideal U of OK, an elementg ε OK is said to be primitive root modulo U provided the residue class g + U generates the multiplicative group (OK + U)x. In this paper we wish to determine conditions when an ideal of OK possesses a primitive root |
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