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Groups and FieldsSuperchallengeNormal Subgroups and Quotient Groups

Normal Subgroups and Quotient Groups · Superchallenge problem

In GL(2,Z3)GL(2,\mathbb Z_3), the center is Z={I,2I}Z = \{I, 2I\} (scalar matrices). How many elements of GL(2,Z3)/ZGL(2,\mathbb Z_3)/Z have order 33?

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