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ARTIN EXPONENT OF u(4,ZP)USING BRAUER COEFFICIENT THEOREM | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 13, Issue 2, 2010, Pages 210-218 | ||
| Author | ||
| Awss Jabbar Majeed | ||
| Abstract | ||
| In this paper, we consider the Artin exponent of the Groups of unitriangular matrices U(n,F) from the principal character of its cyclic subgroups and denoted by A(U(n,F)) WHERE n=4 and F=ZP p is prime number, and we found that A(U(4,ZP)) =p8 Furthermore, we found that, the order of this group / U(4,ZP)/ =p4 its exponent exp (U(4,ZP))=p and found general forms of all conjugacy classes | ||
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