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A counterexample to conjectures of Papakyriakopoulos and Swarup


Author: James McCool
Journal: Proc. Amer. Math. Soc. 81 (1981), 193-194
MSC: Primary 20F05; Secondary 20E06, 57M40
DOI: https://doi.org/10.1090/S0002-9939-1981-0593455-1
MathSciNet review: 593455
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Abstract: In [5] Swarup states a group theoretic conjecture $ {\text{P2}}$ and shows that $ {\text{P1}} \Rightarrow {\text{P2}} \Rightarrow $ the Poincaré conjecture, where $ {\text{P1}}$ is a conjecture of Papakyriakopoulos [3]. We give a counterexample to conjecture $ {\text{P2}}$.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0593455-1
Article copyright: © Copyright 1981 American Mathematical Society

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