2 papers
math.GT2026
On Nilpotent and Hypocentral Quandle Homomorphisms
Yuki Imamura, Tomoki Yoshida
We introduce a notion of nilpotency for surjective quandle homomorphisms, which relativizes the nilpotency of quandles recently defined by Darné. A surjective homomorphism is calle…
math.GT2026
Relativization of symmetries on quandles
Yuki Imamura, Tomoki Yoshida
This paper introduces relative versions of the inner automorphism group and the transvection group associated with surjective quandle homomorphisms. By using the relative inner aut…