On the maximum orders of elements of finite almost simple groups and primitive permutation groups

DOI10.1090/S0002-9947-2015-06293-XzbMath1330.20002arXiv1301.5166OpenAlexW1966311332MaRDI QIDQ2944913

Joy Morris, Pablo Spiga, Cheryl E. Praeger, Simon D. Guest

Publication date: 8 September 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5166

zbMATH Keywords

conjugacy classescycle structurealmost simple groupsindices of maximal subgroupsfinite primitive permutation groupsorders of elementselements of maximal orders

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Simple groups: alternating groups and groups of Lie type (20D06) Primitive groups (20B15)

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Uses Software

• Magma

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