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 -