2 problems

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Relative asphericity conjecture for torsion-free relative 2-complexes
Relative asphericity conjecture. Under these hypotheses, $(L,K)$ is relatively aspherical.
Conjectureopenasphericity group-theory relative-2-complexesarXiv posted 3 days ago
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Howie's exponent-matrix injectivity conjecture for relative 2-complexes
Howie's conjecture. If the exponent matrix is nonsingular, then the inclusion-induced homomorphism
Conjectureopenadjunction-problem group-theory relative-2-complexesarXiv posted 3 days ago

Relative asphericity conjecture for torsion-free relative 2-complexes