On rational-valued characters of certain types of permutation group

الملخص EN

low results are proved.

The first gives ncecssary and sufficient conditions ٢٠٢ a permutation group to have the property that each or its rational valued character can be written as (integral) linear combination of characters induced from the principal characters of certain subgroup.

'1'he other presents that this property is extendable to direct product of groups.

Examples give