Computational approach for intransitive action of Δ (2; 4; k) on PL(Fq)
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Computer science and technology. Computing. Data processing (4156)
Mathematical cybernetics (93)
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IMRAN, Tahir, ASHIQ, Muhammad, ZAIGHUM, Muhammad Asad. Computational approach for intransitive action of Δ (2; 4; k) on PL(Fq). In: Quasigroups and Related Systems, 2020, vol. 28, nr. 1(43), pp. 139-148. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 28, Numărul 1(43) / 2020 / ISSN 1561-2848

Computational approach for intransitive action of Δ (2; 4; k) on PL(Fq)

CZU: 004+519.711.3

Pag. 139-148

Imran Tahir1, Ashiq Muhammad2, Zaighum Muhammad Asad1
 
1 Riphah International University,
2 National University of Sciences and Technology (NUST)
 
 
Disponibil în IBN: 1 iunie 2020


Rezumat

In this paper, we have investigated actions of triangle group  Δ (2; 4; k) dened by < r; s : r2 = s4 = (rs)k = 1 >, on projective line over the nite eld PL(Fq) by using the concept of coset diagrams. We will parameterize this action and prove that actions of (2; 4; 4) is intransitive on PL(Fq), where q is such a prime that q+2 gives a perfect square. We have also developed a useful computational technique to parameterize this action and also to draw coset diagrams. Throughout -1 represents ∞ ,in diagrams as these are computer generated.