p-Groups in which kernels of the non-linear irreducible characters are of equal order
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912782706802688 |
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| author | Talukdar, Nabajit |
| author_facet | Talukdar, Nabajit |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19345 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | p-Groups in which kernels of the non-linear irreducible characters are of equal order Talukdar, Nabajit Group Theory 20C15 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. |
| title | p-Groups in which kernels of the non-linear irreducible characters are of equal order |
| topic | Group Theory 20C15 |
| url | https://arxiv.org/abs/2512.19345 |