A property of groups of non-exponential growth

Rosset, Shmuel

doi:10.1090/S0002-9939-1976-0387420-5

A property of groups of non-exponential growth
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by Shmuel Rosset

Proc. Amer. Math. Soc. 54 (1976), 24-26

DOI: https://doi.org/10.1090/S0002-9939-1976-0387420-5

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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.

References

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Bibliographic Information

Journal: Proc. Amer. Math. Soc. 54 (1976), 24-26
DOI: https://doi.org/10.1090/S0002-9939-1976-0387420-5
MathSciNet review: 0387420