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A CHARACTER-THEORY-FREE CHARACTERIZATION OF THE MATHIEU-GROUP M12

被引：1
|
作者：
HELD, D
DEANGELIS, JH
机构：
[1] Fachbereich Mathematik, Universität Mainz
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1990年 / 49卷
关键词：
D O I：
10.1017/S1446788700030494
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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. © 1990, Australian Mathematical Society. All rights reserved.
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页码：212 / 230
页数：19
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