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Division rings of fractions for group rings, II

✍ Scribed by Ian Hughes


Publisher
John Wiley and Sons
Year
1972
Tongue
English
Weight
203 KB
Volume
25
Category
Article
ISSN
0010-3640

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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

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Let k be a field of characteristic not two, let f x , x gk x , x be an h 0 1 0 1 irreducible homogeneous polynomial and denote the ring of elements of degree w x w x zero in the homogeneous localization k x , x by k x , x . For deg f s 3 it 0 1 f 0 1 Ε½f . h h h w x is proved that the composition alg