Finite groups of matrices over division rings
Published online by Cambridge University Press: 24 October 2008
Extract
A classical theorem of Jordan and Schur states that if G is a finite group of s × s matrices over a field K whose characteristic does not divide |G|, then G has an abelian subgroup of index bounded by a function of s. There are several direct and elegant proofs of this, leading to explicit bounds (4), (18).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 92 , Issue 1 , July 1982 , pp. 55 - 64
- Copyright
- Copyright © Cambridge Philosophical Society 1982
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