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Free Group Algebras in Certain Division Rings

✍ Scribed by L.M.V. Figueiredo; J.Z. Gonçalves; M. Shirvani

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
193 KB
Volume
185
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let D be a division ring with centre k. We show that D contains the k-group algebra of the free group on two generators when D is the ring of fractions of a suitable skew polynomial ring, or it is generated by a polycyclic-by-finite group which is not abelian-by-finite, or it is the ring of fractions of the universal enveloping algebra of a finite-dimensional Lie algebra of characteristic zero.

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