MathCastle
Groups and FieldsHardA Gallery of Groups

A Gallery of Groups · Hard problem

How many of the 8181 matrices (abcd)\begin{pmatrix}a&b\\c&d\end{pmatrix} with entries a,b,c,d∈{0,1,2}a,b,c,d\in\{0,1,2\} are invertible mod 33 (i.e. lie in GL(2,Z3)GL(2,\mathbb Z_3))?