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Maximal subgroups of small index of finite almost simple groups
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Maximal subgroups of small index of finite almost simple groups
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| Ballester Bolinches, Adolfo; Esteban Romero, Ramón Perfil; Jiménez Seral, Paz | |||
| This document is a artículoDate2022 | |||
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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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Ballester Bolinches, Adolfo Esteban Romero, Ramón Jiménez Seral, Paz 2022 Maximal subgroups of small index of finite almost simple groups Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie a-Matematicas 116 183 1 18 |
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| https://doi.org/10.1007/s13398-022-01327-0 |
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12 - Matemàtiques [129]