James McCool
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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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 ${\text {P2}}$.
Key concepts: Counterexample, Conjecture, Combinatorics, Mathematics, Group (periodic table), Discrete mathematics, Physics, Quantum mechanics