V. S.

collaborators

3 papers

math.RT2024

On Minimal Polynomials of Elements in Symmetric and Alternating Groups

Velmurugan S

Let $(I ¨ , V)$ be an irreducible representation of the symmetric group $S_{n}$ (or the alternating group $A_{n}$ ), and let $g$ be a permutation on $n$ letters with each of its cyc…

math.RT2024

Cyclic Characters of Alternating Groups

Amrutha P, Amritanshu Prasad, Velmurugan S

We determine the eigenvalues with multiplicity of each element of an alternating group in any irreducible representation. This is equivalent to determining the decomposition of cyc…

math.RT2024

Covering Numbers of Some Irreducible Characters of the Symmetric Group

Rijubrata Kundu, Velmurugan S

The covering number of a non-linear character $I ¨ $ of a finite group $G$ is the least positive integer $k$ such that every irreducible character of $G$ occurs in $I ¨ ^{k}$ . We determi…