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Counterexamples to Two Problems on One-Relator Groups

Published online by Cambridge University Press:  20 November 2018

J. Fischer
J. Fischer*
Affiliation:
Department of Computer ScienceConcordia University1455 De Maisonneuve, W. Montreal, Quebec, CanadaH3G 1M8
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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).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 3 , 01 September 1976 , pp. 363 - 364
Copyright
Copyright © Canadian Mathematical Society 1976

References

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