On the theory of division algebras
โ Scribed by R.E. MacRae
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 555 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let D be a division algebra of degree 3 over its center K and let J be an involution of the second kind on D. Let F be the subfield of K of elements invariant under J, char F / 3. We present a simple proof of a theorem of A. Albert on the existence of a maximal subfield of D which is Galois over F w
We study the action of the group PGL(m,A) on the projective space PG(ml , A ) over a finite commutative local algebra A in order to construct a class of divisible designs, denoted by D,(d,A), which is the classical one of 2-designs (of points and of flats of fixed projective dimension) in the case w