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Deficiency, commensurators and 4-dimensi...
Hillman, J. A....
Deficiency, commensurators and 4-dimensional infrasolvmanifolds by Hillman, J. A. ( Author )
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02-10-2015
We show that if π is the fundamental group of a 4-dimensional infrasolvmanifold then −2≤def(π)≤0, and give examples realizing each of these values. We also determine the abstract commensurators of such groups. Finally we show that if G is a finitely generated group the kernel of the natural homomorphism from G to its abstract commensurator Comm(G) is locally nilpotent by locally finite, and is finite if def(G)>1.
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https://arxiv.org/abs/1510.00457
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