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Ballester-Bolinches, Adolfo; Esteban Romero, Ramón; Jiménez Seral, Paz | |||
Aquest document és un/a article, creat/da en: 2022 | |||
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We prove in this paper that every almost simple group R with socle isomorphic to a simple group S possesses a conjugacy class of core-free maximal subgroups whose index coincides with the smallest index l(S) of a maximal subgroup of S or a conjugacy class of core-free maximal subgroups with a fixed index v S ≤ l(S)^2 , depending only on S. We also prove that the number of subgroups of the outer automorphism group of S is bounded by log^3 l(S) and l(S)^2 < |S|. | |||
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