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Finite groups of matrices over division rings

Published online by Cambridge University Press:  24 October 2008

B. Hartley  and
M. A. Shahabi Shojaei
B. Hartley
Affiliation:
University of Manchester and University of Tabriz, Iran
M. A. Shahabi Shojaei
Affiliation:
University of Manchester and University of Tabriz, Iran
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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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References

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