Final answer:
The atomic number is the most helpful property for determining an element's group on the periodic table, as it directly influences an element's chemical properties and group membership.
Step-by-step explanation:
The property of an element that would be most helpful in determining its group in the periodic table is its atomic number. The atomic number represents the number of protons in the nucleus and determines the chemical properties of an element, including its group membership in the periodic table. The elements in groups (vertical columns) have the same number and distribution of electrons in their valence shells, leading to similar chemical behavior.
For example, atomic number gives rise to the pattern that all alkali metals belong to Group 1 and have similar chemical properties, with one electron in their outermost shell. Electronegativity, atomic mass, and oxidation state do provide useful information about an element but do not directly determine group membership as strongly as the atomic number does.