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Some applications of Wedderburn's factorisation theorem
Published online by Cambridge University Press: 17 April 2009
Abstract
The structure of finite quotients of “large” subgroups of the multiplicative group of a finite dimensional division algebra is interesting and is related to the Margulis-Platonov conjecture. We develop machinery to handle such quotients and we conjecture that finite quotients of the multiplicative group of a finite dimensional division algebra are solvable. The proofs rely on Wedderburn's Factorisation Theorem.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 105 - 110
- Copyright
- Copyright © Australian Mathematical Society 1999
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