Fields of fractions for group algebras of free groups
Fields of fractions for group algebras of free groups
Let <italic>KF</italic> be the group algebra over the commutative field <italic>K</italic> of the free group <italic>F</italic>. It is proved that the field generated by <italic>KF</italic> in any Mal’cev-Neumann embedding for <italic>KF</italic> is the universal field of fractions <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper U left-parenthesis upper K upper F right-parenthesis"> <mml:semantics> …