Abstract

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”.

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