2 problems

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The nonassociative loop-switch strategy conjecture
Let $\mathcal{L}=(\{1,a,b,c,d\},\ast)$ be the smallest loop that is not a group, with multiplication operation $\ast$ . Loop-switch strategy conjecture. There exists a nontrivial ad…
Conjectureopenloops nonassociative-algebra surjective-strategiesarXiv posted 2 days ago
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The right inner mapping group conjecture for simple right conjugacy closed loops
The right inner mapping group conjecture. The right inner mapping group of $(Q,\circ_f)$ is exactly
Conjectureopenconjugacy-closed-loops finite-groups loopsarXiv posted 2 days ago

The nonassociative loop-switch strategy conjecture