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arXiv · 2512.19345

p-Groups in which kernels of the non-linear irreducible characters are of equal order

Nabajit Talukdar
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Abstract

For an irreducible character $χ$ of a finite group $G$, its kernel is defined as $\text{ker }χ=\{g\in G: χ(g)=χ(1)\}$. In this paper we characterize the finite groups of prime power order(for odd prime) in which kernels of all of the non-linear irreducible characters are of the same order.

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Nabajit Talukdar. 2025-12-22. p-Groups in which kernels of the non-linear irreducible characters are of equal order. https://arxiv.org/abs/2512.19345

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