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math.RA2026
A note on idempotents in quandle rings
Dilpreet Kaur, Pushpendra Singh
It was conjectured that the nonzero idempotents of the integral quandle ring of a finite latin quandle are trivial. We prove this holds for latin dihedral quandles. Furthermore, we…
math.GR2026
Hayashi property for conjugation quandles over finite Coxeter groups
Dilpreet Kaur, Uday Bhaskar Sharma, Pushpendra Singh
In this article, we show that for all finite irreducible Coxeter groups with a conjugation closed subset , the conjugation quandle satisfies the Hayashi pro…
math.GR2026
On Codes in (Generalized) Symmetric Groups
Subrata Barman, Pushpendra Singh
In this article, we show that, for the symmetric group , the Young subgroup , with , is not a code with respect to a conjugacy class of . This provides a…