6533b831fe1ef96bd12996a2

RESEARCH PRODUCT

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

Jörg Hrabě De AngelisDieter Held

subject

Pure mathematicsSimple groupCharacter theoryMathieu group M12General MedicineCentralizer and normalizerMathematics

description

AbstractThe 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.

yearjournalcountryeditionlanguage
1990-10-01Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
https://doi.org/10.1017/s1446788700030494