P. Vanchinathan

collaborators

3 papers

math.NT2025

Inflated G-Extensions for Algebraic Number Fields

M Krithika, P Vanchinathan

In 2018, Legrand and Paran proved a weaker form of the Inverse Galois Problem for all Hilbertian fields and all finite groups: that is, there exist possibly non-Galois extensions o…

math.NT2023

Involutary pemutations over finite fields given by trinomials and quadrinomials

P Vanchinathan, Anitha G

For all finite fields of $q$ elements where $q \equiv 1 (mod 4)$ we have constructed permutation polynomials which have order 2 as permutations, and have 3 terms, or 4 terms as polynom…

math.AG2009

Nondegeneracy for Quotient Varieties under Finite Group Actions

S. S. Kannan, P. Vanchinathan

We prove that for an abelian group $G$ of order $n$ the morphism $φ : P (V^{*}) ⟶ P ((sym^{n} V^{*})^{G})$ defined by $φ([f]) = [\prod_{σ\in G}…