Counterexamples to Two Problems on One-Relator Groups
Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 363-364
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In [2] G. Baumslag presents a list of twenty-three unsolved problems on one-relator groups. We give counterexamples to two of them.Problem 5 asks whether a maximal locally free subgroup of a one-relator group always has finite “rank” (G has “rank” k if each finitely generated subgroup of G is contained in a k-generator subgroup of G).
Fischer, J. Counterexamples to Two Problems on One-Relator Groups. Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 363-364. doi: 10.4153/CMB-1976-055-2
@article{10_4153_CMB_1976_055_2,
author = {Fischer, J.},
title = {Counterexamples to {Two} {Problems} on {One-Relator} {Groups}},
journal = {Canadian mathematical bulletin},
pages = {363--364},
year = {1976},
volume = {19},
number = {3},
doi = {10.4153/CMB-1976-055-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-055-2/}
}
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