MathCastle
Groups and FieldsEasyGroups and the Group Axioms

Groups and the Group Axioms · Easy problem

How many of the four elements of U(12)={1,5,7,11}U(12)=\{1,5,7,11\} satisfy a2≡1(mod12)a^2\equiv1\pmod{12}, i.e. are their own inverse under multiplication mod 1212?