A character-theory-free characterization of the Mathieu group M12

Journal of the Australian Mathematical Society

Dieter Held¹ 

[1] Jörg Hrabě de Angelis

关键词: 20 D 05;    20 D 08;   

DOI  :  10.1017/S1446788700030494

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

The known characterization of the Mathieu group M12 by the structure of the centralizer of a 2-central involution is based on the application of the theory of exceptional characters and uses in addition a block theoretic result which asserts that a simple group of order |M12| is isomorphic to M12. The details of the proof of the latter result had never been published. We show here that M12 can be handled in a completely elementary and group theoretical way.

【 授权许可】

Unknown