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Normal subgroups of skew linear groups

Published online by Cambridge University Press:  26 February 2010

B. A. F. Wehrfritz
B. A. F. Wehrfritz
Affiliation:
Department of Mathematics, Queen Mary College, London, El 4NS
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Extract

In a series of papers we have analysed the embedding of certain groups H as normal subgroups of absolutely irreducible skew linear groups G, see [7], [8], [9] and [10]. Here we drop the absolutely irreducibility assumption on G. If H is locally finite we derive relatively strong conditions on G, although not as strong as when G is absolutely irreducible. If H is abelian, very much in contrast to the absolutely irreducible case, we show that nothing can be said. The phrase “bounded by an integer-valued function of n only” we abbreviate to “n-bounded”.

Type
Research Article
Information
Mathematika , Volume 33 , Issue 1 , June 1986 , pp. 102 - 110
Copyright
Copyright © University College London 1986

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References

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