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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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