Lie centre-by-metabelian group algebras over fields have been classified by various authors. This classification is extended to group algebras over commutative rings. ๏ฃฉ 2002 Elsevier Science (USA)
Groups Generated by Symplectic Transvections over Local Rings
โ Scribed by Hiroyuki Ishibashi
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 335 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
Let R be a commutative local ring with the unique maximal ideal A. Let V be a ลฝ . free module of rank n over R. And let Sp V be the symplectic group on V with n an alternating bilinear form f : V = V ยช R. We study the generation of a subgroup
author's conjecture in ''Generators and Relations in Groups and Geometries'' ลฝ . ลฝ .
๐ SIMILAR VOLUMES
We prove that if \(T\) is a strongly based continuous bounded representation of a locally compact abelian group \(G\) on a Banach Space \(X\), and if the spectrum of \(T\) is countable, then the Banach algebra generated by \(f(T)=\int_{G} f(g) T(g) d g\), \(f \in L^{1}(G)\), is semisimple. 1994 Acad