arXiv Open Access 2023

Representation dimension of some finite groups

Gurleen Kaur Amit Kulshrestha Anupam Singh

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Abstrak

For a finite group $G$, the representation dimension is the smallest integer realizable as the degree of a complex faithful representation of $G$. In this article, we compute representation dimension for some $p$-groups, their direct products, and groups with certain conditions on nonlinear irreducible characters. We also make similar computations for the smallest integer realizable as the degree of an irreducible complex faithful representation of $G$, if one exists. In the appendix, we present GAP codes to compute these numbers.

Topik & Kata Kunci

math.GR math.RT

Penulis (3)

Gurleen Kaur

Amit Kulshrestha

Anupam Singh

Format Sitasi

APA MLA BibTeX

Kaur, G., Kulshrestha, A., Singh, A. (2023). Representation dimension of some finite groups. https://arxiv.org/abs/2308.01612

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓