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Free symmetric group algebras in division rings generated by poly-orderable groups

✍ Scribed by Ferreira, Vitor O.; Gonçalves, Jairo Z.; Sánchez, Javier


Book ID
120705506
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
299 KB
Volume
392
Category
Article
ISSN
0021-8693

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Free Group Algebras in Certain Division
✍ L.M.V. Figueiredo; J.Z. Gonçalves; M. Shirvani 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 193 KB

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 fraction