Groups and FieldsMediumGroups and the Group Axioms
Groups and the Group Axioms · Medium problem
Two tables are proposed as the Cayley table of some -element group with identity . Table : row is ; row is ; row is ; row is . Table : row is ; row is ; row is ; row is . One of the two tables cannot be the Cayley table of ANY group, because some row repeats a symbol instead of containing each of exactly once. In that bad row, how many times does the most-repeated symbol appear?