The Artin Exponent of Projective Special Linear Group PSL (2, P‘)
Lemia Abd Alameer Hadi
Abstract
Lemia Abd Alameer Hadi
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.
Key concepts: PSL, Mathematics, Exponent, Conjugacy class, Projective linear group, Character table, Character (mathematics), Prime (order theory)