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Evolution of ambiguous numbers under the actions of a Bianchi group.
- Source :
- Journal of Taibah University for Science; Jan-Dec2020, Vol. 14 Issue 1, p615-620, 6p
- Publication Year :
- 2020
-
Abstract
- In this paper we study some combinatorial properties of biquadratic irrational number field Q (i , 3) , under the action of a Bianchi group Γ 3 = P S L (2 , O 3 ). In this experiment it is revealed that a special class of elements exists; that is, for an element ξ its conjugate ξ ¯ has different signs in the closed path (orbits) for the action of Γ 3 over Q (i , 3) , known as ambiguous numbers. It is also proved that the orbit Γ ξ defined on a finite number of ambiguous numbers succeeding a unique closed path. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16583655
- Volume :
- 14
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Taibah University for Science
- Publication Type :
- Academic Journal
- Accession number :
- 147677256
- Full Text :
- https://doi.org/10.1080/16583655.2020.1760511