http://repositorio.unb.br/handle/10482/39537
Title: | Maximal covers of finite groups |
Authors: | Bastos, Raimundo Lima, Igor dos Santos Rogério, José R. |
metadata.dc.identifier.orcid: | https://orcid.org/0000-0002-5733-519X https://orcid.org/0000-0002-0346-2716 |
Assunto:: | Grupos finitos |
Issue Date: | 31-Aug-2019 |
Publisher: | Taylor & Francis |
Citation: | BASTOS, Raimundo; LIMA, Igor; ROGERIO, José R. Maximal covers of finite groups. Communications in Algebra, v. 48, n. 2, 2020. Disponível em: https://www.tandfonline.com/doi/abs/10.1080/00927872.2019.1654498?journalCode=lagb20. |
Abstract: | Let λ(G) be the maximum number of subgroups in an irredundant covering of the finite group G. We prove that if G is a group with λ(G) ≤ 6, then G is supersolvable. We also describe the structure of groups G with λ(G) = 6. Moreover, we show that if G is a group with λ(G) < 31, then G is solvable. |
metadata.dc.relation.publisherversion: | https://www.tandfonline.com/doi/abs/10.1080/00927872.2019.1654498?journalCode=lagb20 |
Appears in Collections: | Artigos publicados em periódicos e afins |
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