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Some applications of Wedderburn's factorisation theorem

Published online by Cambridge University Press:  17 April 2009

Yoav Segev
Yoav Segev
Affiliation:
Department of Mathematics, Ben-Gurion University, Beer-Sheva 84105, Israel
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Abstract

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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

References

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