Integral Sets and Cayley Graphs of Finite Groups

Roger C. Alperin, Brian L. Peterson


Integral sets of finite groups are discussed and related to the integral Cayley graphs. The Boolean algebra of integral sets are determined for dihedral group and finite abelian groups. We characterize the finite abelian groups as those finite groups where the Boolean algebra generated by  integral sets equals  the Boolean algebra generated by its subgroups.

Full Text: