Theory of Finite Simple Groups Ii (Hardcover)

Gerhard Michler

ISBN 10: 0521764912 / ISBN 13: 9780521764919

Edité par Cambridge University Press, Cambridge, 2010

A propos de cet article

Hardcover. This is a coherent explanation for the existence of the 26 known sporadic simple groups originally arising from many unrelated contexts. The given proofs build on the close relations between general group theory, ordinary character theory, modular representation theory and algorithmic algebra described in the first volume. The author presents a new algorithm by which 25 sporadic simple groups can be constructed (the smallest Mathieu group M11 can be omitted for theoretical reasons), and demonstrates that it is not restricted to sporadic simple groups. He also describes the constructions of various groups and proves their uniqueness whenever possible. The computational existence proofs are documented in the accompanying DVD. The author also states several open problems related to the theorem asserting that there are exactly 26 groups, and R. Brauer's warning that there may be infinitely many. Some of these problems require new experiments with the author's algorithm. This is a coherent explanation for the existence of the 26 known sporadic simple groups originally arising from many unrelated contexts. The given proofs build on the intimate relations between general group theory, ordinary character theory, modular representation theory and algorithmic algebra described in the first volume. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9780521764919

Détails bibliographiques

Titre : Theory of Finite Simple Groups Ii (Hardcover)

Éditeur : Cambridge University Press, Cambridge

Date d'édition : 2010

Reliure : Hardcover

Etat : new