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Integral Sets and Cayley Graphs of Finite Groups
Roger C. Alperin, Brian L. Peterson
Source abstract
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.
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