7 papers
Surjectivity of Engel Maps over trace zero matrices in
Ayon Roy, Anupam Singh
The surjectivity of various noncommutative polynomials has been studied extensively on Lie algebras over fields of different characteristics. In this article, we study the surjecti…
Waring Problem for matrices over finite local rings
Ram Karan Choudhary, Harish Kishnani, Anupam Singh
This paper addresses the matrix Waring problem for matrices over finite principal local rings. Let be a finite principal local ring of length with the m…
Surjectivity of Engel Words on and
Ayon Roy, Anupam Singh
The study of word maps and Waring-like problems has been widely pursued for finite simple groups, algebraic groups, and Lie groups. In this article, we study Engel word maps $e_{m}…
Lifting solutions of polynomial equations on matrices over field to complete local principal ideal rings
Saikat Panja, Ayon Roy, Anupam Singh
Let be a complete local principal ideal ring with residue field of characteristic not and . Take $A\in…
Power maps on General Linear groups over finite principal ideal local rings of length two
Saikat Panja, Ayon Roy, Anupam Singh
Word maps have been studied for matrix groups over a field. We initiate the study of problems related to word maps in the context of the group , where…
Polynomial maps with constants on split octonion algebras
Saikat Panja, Prachi Saini, Anupam Singh
Let be the split octonion algebra over an algebraically closed field . For positive integers , we study surjectivity of the map…