2022•journal of the college of basic educationOpen access

The Artin Exponent of Projective Special Linear Group PSL (2, P‘)

Lemia Abd Alameer Hadi

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Abstract

This paper finds the Artin characters and Artin exponent dependingon the character table and conjugacy classes of projective special lineargroup PSL (2,P*).Then we prove that Artin exponent of PSL (2, P*) isequal to p*' where P is a prime number , p=3 and k> 0.

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This paper finds the Artin characters and Artin exponent dependingon the character table and conjugacy classes of projective special lineargroup PSL (2,P*).Then we prove that Artin exponent of PSL (2, P*) isequal to p*' where P is a prime number , p=3 and k> 0.

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Available abstract

This paper finds the Artin characters and Artin exponent dependingon the character table and conjugacy classes of projective special lineargroup PSL (2,P*).Then we prove that Artin exponent of PSL (2, P*) isequal to p*' where P is a prime number , p=3 and k> 0.

Key concepts: PSL, Mathematics, Exponent, Conjugacy class, Projective linear group, Character table, Character (mathematics), Prime (order theory)

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