MathCastle
Groups and FieldsMediumGroup Actions

Group Actions · Medium problem

U(7)={1,…,6}U(7)=\{1,\ldots,6\} acts on {0,1,…,6}\{0,1,\ldots,6\} by a⋅x=ax mod 7a\cdot x=ax\bmod7. Compute 3⋅53\cdot5.