activity
20162025
most citedAutomorphism groups of quandles arising from groups

24 citations · 41 across the 8 of their papers we have counts for

collaborators

8 papers

math.AT2025

2-Segal sets from cuts of rooted trees

Julia E. Bergner, Olivia Borghi, Pinka Dey +2

The theory of 2-Segal sets has connections to various important constructions such as the Waldhausen -construction in algebraic -theory, Hall algebras, and (co)operad…

math.AT2024

Equivariant cohomology for cyclic groups

Samik Basu, Pinka Dey

In this paper, we compute the -graded coefficient ring of equivariant cohomology for cyclic groups , in the case of Burnside ring coefficients, and in the case of con…

math.AT2023

Equivariant Cohomology of Projective Spaces

Samik Basu, Pinka Dey, Aparajita Karmakar

We compute the equivariant homology and cohomology of projective spaces with integer coefficients. More precisely, in the case of cyclic groups, we show that the cellular filtratio…

math.AT2021

Equivariant homology decompositions for cyclic group actions on definite 4-manifolds

Samik Basu, Pinka Dey, Aparajita Karmakar

In this paper, we study the equivariant homotopy type of a connected sum of linear actions on complex projective planes defined by Hambleton and Tanase. These actions are construct…

math.GR2020★ 3 cited

Twisted conjugacy classes in twisted Chevalley groups

Sushil Bhunia, Pinka Dey, Amit Roy

Let G be a group and ϕ be an automorphism of G. Two elements x, y of G are said to be ϕ-twisted if y = gxϕ(g)^{-1} for some g in G. We say that a group G has the R_{\infty}-propert…

math.AT2018★ 1 cited

Free actions of finite groups on products of Dold manifolds

Pinka Dey

The Dold manifold is the quotient of by the free involution that acts antipodally on and by complex conjugation on . I…

math.AT2018★ 13 cited

Free actions of some compact groups on Milnor manifolds

Pinka Dey, Mahender Singh

In this paper, we investigate free actions of some compact groups on cohomology real and complex Milnor manifolds. More precisely, we compute the mod 2 cohomology algebra of the or…

math.GR2016★ 24 cited

Automorphism groups of quandles arising from groups

Valeriy G. Bardakov, Pinka Dey, Mahender Singh

Let be a group and $φ\in \Aut(G)$. Then the set equipped with the binary operation gives a quandle structure on , denoted by $\Alex(G, φ)$ and called t…