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2017•Indian Journal of Science and TechnologyOpen access

Classification of PSL (2, Z)-Circuits having Length Six

Sajjad Ali, Muhammad Aslam Malik

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Abstract

Objectives: To classify PSL (2, Z)-circuits contained in PSL (2, Z)-orbit having length six. Methods/Statistical Analysis: By employing coset diagrams of these orbits containing PSL (2,Z)-circuits with length 6 are explored. Findings: Thirty different types with the above mentioned property have been found in all. Applications: By using classification of PSL (2, Z)-circuits of length six we can comprehend the construction of PSL (2, Z)-orbits of Q m ( ) . Keywords: Classification of Types Containing 6 Length PSL (2, Z)-Circuits, Coset Diagrams, Reduced Numbers, PSL (2, Z)

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What this paper is about

Objectives: To classify PSL (2, Z)-circuits contained in PSL (2, Z)-orbit having length six. Methods/Statistical Analysis: By employing coset diagrams of these orbits containing PSL (2,Z)-circuits with length 6 are explored. Findings: Thirty different types with the above mentioned property have been found in all. Applications: By using classification of PSL (2, Z)-circuits of length six we can comprehend the construction of PSL (2, Z)-orbits of Q m ( ) . Keywords: Classification of Types Containing 6 Length PSL (2, Z)-Circuits, Coset Diagrams, Reduced Numbers, PSL (2, Z)

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Available abstract

Objectives: To classify PSL (2, Z)-circuits contained in PSL (2, Z)-orbit having length six. Methods/Statistical Analysis: By employing coset diagrams of these orbits containing PSL (2,Z)-circuits with length 6 are explored. Findings: Thirty different types with the above mentioned property have been found in all. Applications: By using classification of PSL (2, Z)-circuits of length six we can comprehend the construction of PSL (2, Z)-orbits of Q m ( ) . Keywords: Classification of Types Containing 6 Length PSL (2, Z)-Circuits, Coset Diagrams, Reduced Numbers, PSL (2, Z)

Key concepts: PSL, Electronic circuit, Coset, Mathematics, Computer science, Combinatorics, Physics, Quantum mechanics

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