Bueno, André GiminezMartins, Renato VidalOliveira, Edney Augusto Jesus deSchneider, Csaba2023-02-032023-02-032019BUENO, A. G. et al. Computing singularities of the spectra of representation rings of finite groups. Publicationes Mathematicae-Debrecen, v. 99, p. 161-183, 2021. Disponível em: <https://arxiv.org/abs/1910.08767>. Acesso em: 06 jul. 2022.2064-2849http://www.repositorio.ufop.br/jspui/handle/123456789/16099Let G be a finite group of order n, and ξ an n-th primitive root of unity. Consider the affine scheme C := Spec(Z[ξ] ⊗Z R(G)) where R(G) is the representation ring of G. We study the fibers of the formal tangent sheaf of C by computing their dimension and also finding (and measuring) the singularities of C. We present explicit computations for noncommutative groups of small order, and develop practical methods to compute these invariants for an arbitrary finite group.en-USrestritoComputing singularities of the spectra of representation rings of finite groups.Artigo publicado em periodicoOs trabalhos publicados pelo periódico RMAT - Revista de Matemática estão sob uma licença Creative Commons que permite copiar, distribuir e transmitir o trabalho, desde que sejam citados o autor e o licenciante. Fonte: RMAT - Revista de Matemática <https://periodicos.ufop.br/rmat/about/submissions>. Acesso em: 19 maio 2022.https://doi.org/10.48550/arXiv.1910.08767