2 problems

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Nilpotency bounds for groups of self-homotopy equivalences
Nilpotency conjecture.
Conjectureopenhomotopy-theory nilpotent-groups self-homotopy-equivalencesarXiv posted 2 days ago
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The even-order conjecture for self-homotopy equivalences of $A_2^2$ -polyhedra
Let $X$ be an $A_2^2$ -polyhedron, and let ${\mathcal B}^4(X)$ denote the group under consideration of self-homotopy equivalences of $X$ . Even-order conjecture. If…
Conjectureopenhomotopy-theory polyhedra self-homotopy-equivalencesarXiv posted 2 days ago

Nilpotency bounds for groups of self-homotopy equivalences