Division Rings of Fractions for Group Rings
β Scribed by Ian Hughes
- Publisher
- John Wiley and Sons
- Year
- 1970
- Tongue
- English
- Weight
- 375 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
The theory developed in previous papers of the author is used to compute the algebraic K of group rings of cyclic p-groups with coefficients in an arbitrary 2 -ring.
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