A quantitative property of sporadic simple groups

descriptionPublicationkeyboard_double_arrow_right Article 28 Jan 2001Publisher:Walter de Gruyter GmbHJournal:Journal of Group Theory, volume 5 (issn: 1433-5883, eissn: 1435-4446,

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Authors: Li, Xianhua; Wang, Dianjun;

doi: 10.1515/jgth.2001.038

A quantitative property of sporadic simple groups

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Abstract

Using the classification of finite simple groups the authors prove that every sporadic simple group is determined by its order and the set of indices of its maximal subgroups.

Keywords

group orders, sporadic simple groups, Maximal subgroups, Finite simple groups and their classification, maximal subgroups, Arithmetic and combinatorial problems involving abstract finite groups, Simple groups: sporadic groups, sets of indices

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