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math.GR2023
Representation dimension of some finite groups
Gurleen Kaur, Amit Kulshrestha, Anupam Singh
For a finite group , the representation dimension is the smallest integer realizable as the degree of a complex faithful representation of . In this article, we compute repre…
math.GR2023★ 1 cited
Surjectivity of polynomial maps on Matrices
Saikat Panja, Prachi Saini, Anupam Singh
For , we consider the map on given by evaluation of a polynomial over the field . In this article, we explore the image o…
math.GR2023
Powers in finite unitary groups
Saikat Panja, Anupam Singh
Let denote the subgroup of unitary matrices of the general linear group which fixes a Hermitian form and an…