Factorizations of surjective maps of connected quandles

24 Sep 2019 Braun T. Crotwell C. Liu A. Weston P. Yetter D. N.

We consider the problem of when one quandle homomorphism will factor through another, restricting our attention to the case where all quandles involved are connected. We provide a complete solution to the problem for surjective quandle homomorphisms using the structure theorem for connected quandles of Ehrman et al. (2008) and the factorization system for surjective quandle homomorphsims of Bunch et al. (2010) as our primary tools... (read more)

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  • GROUP THEORY