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Some remarks on coherent soluble groups
Published online by Cambridge University Press: 17 April 2009
Extract
An example of Wehrfritz is pointed out to show that GL(4, Q) is not coherent. This answers a question of Serre. It is shown that finitely generated soluble coherent subgroups of GL(2, Q) need not be polycyclic, in sharp contrast to the fact that all soluble subgroups of GL(n, Z) are polycyclic and so automatically coherent.
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- Copyright © Australian Mathematical Society 1974
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