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A Property of Groups of Nonexponential Growth

Shmuel Rosset
Proceedings of the American Mathematical Society
Vol. 54, No. 1 (Jan., 1976), pp. 24-26
DOI: 10.2307/2040740
Stable URL: http://www.jstor.org/stable/2040740
Page Count: 3
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Property of Groups of Nonexponential Growth
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Abstract

We prove that in a finitely generated nonexponential group a normal subgroup with a solvable quotient is finitely generated. This extends a theorem of Milnor which has the same conclusion if the group is also assumed to be solvable. The proof uses a lemma of Milnor, but in a different, simpler, way.

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