Maximal covers of finite groups |
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| Authors: | Raimundo Bastos José R Rogério |
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| Institution: | 1. Departamento de Matemática, Universidade de Brasília, Brasilia-DF, Brazil;2. Departamento de Matemática, Universidade Federal do Ceará, Fortaleza - CE, Brazil |
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| Abstract: | AbstractLet 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. |
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| Keywords: | Covering groups solvable groups |
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