Locally Finite Representations of Polycyclic-by-Finite Groups
โ Scribed by Donkin, S.
- Book ID
- 120101412
- Publisher
- Oxford University Press
- Year
- 1982
- Tongue
- English
- Weight
- 336 KB
- Volume
- s3-44
- Category
- Article
- ISSN
- 0024-6115
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let G be a polycyclic-by-finite group such that โฌ G is torsion-free abelian and K a field. Denote by S a multiplicatively closed set of non-zero central elements of w x K G ; if K is an absolute field assume that S contains an element not in K. Our w x main result is when the localization K G is a p
But P l B s rad P and so L ( Prrad P. It remains to show that P F L . 1 2 If Q is a maximal normal subgroup of P then, since P is perfect, PrQ is isomorphic to a simple direct factor of L and hence has order greater 1 than s. With the notation as in Lemma 2.2, we have PE rE ( PrP l E , 2 2 2 which t
In this chapter we will study the linear algebra required in representation theory. Some of this will be familiar hut there will also be new material, especially that on 'multilinear' algebra.