On The Properties of SL(2,Z_m)

Cao Hong-ping · Journal of Southwest China Normal University · 2009

Through study the relations between SL(2,Zm)and GL(2,Zm),obtains the order of SL(2,Zm),proves the GL(2,Zm)solvable if and only if SL(2,Zm)is solvable,gives the direct product decomposition of SL(2,Zm).Specially,when m=pαqβ,gives the generator of SL(2,Zm),where p,q is the different prime number,α,β is a positive integer.

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