TY - JOUR

T1 - A property of groups of nonexponential growth

AU - Rosset, Shmuel

PY - 1976/1

Y1 - 1976/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84966227583&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1976-0387420-5

DO - 10.1090/S0002-9939-1976-0387420-5

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AN - SCOPUS:84966227583

SN - 0002-9939

VL - 54

SP - 24

EP - 26

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -