The Classification Of Quasithin Groups: I: Structure of Strongly Quasithin $K$ groups (Mathematical Surveys & Monographs, 111, Band 111) - Hardcover

Aschbacher, Michael; Smith, Stephen D.

 
9780821834107: The Classification Of Quasithin Groups: I: Structure of Strongly Quasithin $K$ groups (Mathematical Surveys & Monographs, 111, Band 111)

Inhaltsangabe

The authors take up where Geoff Mason left off in the 1980s on the issue of quasithin groups of even characteristic. In their two-volume set (the volumes are sold separately) their goal is to close the gap in classification of the finite simple groups. Volume one collects basic facts and lemmas about finite groups, and includes results which are known as well as new results which will also be of interest outside of the context of quasithin groups. Topics include facts about the automorphism groups, Schur multipliers, subgroup structure, and representations of such groups; the structure of strongly quasithin K-groups; Thompson factorization; known facts about minimal parabolics and new results about strongly quasithin minimal parabolics; "pushing up" problems; weak closure; the modern amalgam method; and proofs of several recognition theorems, including results on groups of Lie type of Lie rank 2 and on the Rudvalis sporatic group Ru. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)

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Über die Autorin bzw. den Autor

Michael Aschbacher, California Institute of Technology, Pasadena, CA

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