𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Group extensions and division algebras

✍ Scribed by Shmuel Rosset

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
335 KB
Volume
53
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Galois groups and division algebras
Galois groups and division algebras
✍ Burton Fein; Murray M Schacher πŸ“‚ Article πŸ“… 1976 πŸ› Elsevier Science 🌐 English βš– 620 KB
Free Group Algebras in Certain Division
Free Group Algebras in Certain Division Rings
✍ L.M.V. Figueiredo; J.Z. GonΓ§alves; M. Shirvani πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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

Correspondences Between Valued Division
Correspondences Between Valued Division Algebras and Graded Division Algebras
✍ Y.-S Hwang; A.R Wadsworth πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 327 KB

If D is a tame central division algebra over a Henselian valued field F, then the valuation on D yields an associated graded ring GD which is a graded division ring and is also central and graded simple over GF. After proving some properties of graded central simple algebras over a graded field (inc

Minimal Extensions of Algebraic Groups a
Minimal Extensions of Algebraic Groups and Linear Independence
✍ W.Dale Brownawell πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 164 KB

We introduce the notion of a minimal extension of t-groups. Linear independence of the coordinates of the logarithm of an algebraic point in a minimal extension of t-groups follows naturally from linear independence of the coordinates of the image in the tangent space of the base t-group. We illustr