Symmetric groups are rational-representation

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This article gives the statement, and possibly proof, of a particular group or type of group (namely, Symmetric group (?)) satisfying a particular group property (namely, Rational-representation group (?)).

Statement

Let n be a natural number. The symmetric group of degree n is a Rational-representation group (?): all its representations over the complex numbers can be realized over the field of rational numbers.

Related facts

Weaker facts

Related facts about alternating groups

General information pages