U. Sharma

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20242026

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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 $G$ with a conjugation closed subset $C$ , the conjugation quandle $Conj (G, C)$ satisfies the Hayashi pro…

math.GR2025

z-Classes in Finite Coxeter Groups

Dilpreet Kaur, Uday Bhaskar Sharma

In this paper, we give the enumeration of z-classes in finite Coxeter groups.

math.GR2024

A Frobenius-Type Formula for Compact Lie Groups

Shripad Garge, Uday Bhaskar Sharma

Let $G$ be a group and $I^\pm : G \times G \to G$ denote the commutator map. In the case of finite groups, Frobenius gave the formula to compute the cardinalities of the fibres $Î±^{-1…