4 papers
Root Clusters and Multiclusters over Imperfect Hilbertian Fields
Shubham Jaiswal
We extend the theory of root clusters from perfect fields to general fields which are not necessarily perfect. We introduce the following notions for field extensions over any give…
A Generalization of a Theorem of Nakajima-Landweber-Stong
Shubham Jaiswal, Tony J. Puthenpurakal
The main result of this paper is a generalization of a theorem of Nakajima-Landweber-Stong to the modular invariant rings of transvection groups over Dedekind domains. More precise…
The Regular property of Invariant Rings over Regular Domains
Shubham Jaiswal, Tony J. Puthenpurakal
The main result of this paper is a generalization of the theorem of Chevalley-Shephard-Todd to the rings of invariants of pseudo-reflection groups over regular domains. More precis…
On Variants of Inverse Cluster Size Problem & General Magnification
Shubham Jaiswal, M Krithika, P Vanchinathan
In this article we establish certain variants of the Inverse Cluster Size problem. We introduce the notion of primitive extensions and establish the Primitive variant of the proble…