Fixed Points Results in Split Quaternion Algebras Over Prime Fields /Akhtar Rasool
Material type:
TextPublication details: Lahore : Department of Mathematics, Div. S&T University of Education, 2018Description: 45 p. CDSubject(s): DDC classification: - 512.74 F588
| Item type | Current library | Call number | Status | Date due | Barcode | |
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Theses
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UE-Central Library | 512.74 F588 (Browse shelf(Opens below)) | Not for loan | TTH87 |
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| 512.72 B953 Elementary number theory : | 512.72 J7101 Elementary number theory | 512.72 M5786 Foundations of number systems | 512.74 F588 Fixed Points Results in Split Quaternion Algebras Over Prime Fields | 512.74 H84 Fields and Galois theory / | 512.74 M3341 Number fields | 512.74 M3341 Number fields |
We compute fixed points of a general quadratic polynomial in algebra of split quater-nions, octonions and split octonions over prime fields Zp. After that, we characterize fixed points in terms of the coefficients of these polynomials and also give the cardi-
nality of these points. Then, we present some algebraic consequences about algebra of split quaternions, octonions and split octonions over prime fields Zp. On the other hand, we also give examples and generate the code that creates these examples with ease.3
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