The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups

Liebeck, Martin W.; Seitz, Gary M.

ISBN 10: 0821834827 / ISBN 13: 9780821834824

Verlag: Amer Mathematical Society, 2004

*NEW* and unread paperback. Shelf wear and staining to covers and edges. Bestandsnummer des Verkäufers SKU1000189

Inhaltsangabe:

In this paper, we complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small. A number of consequences are obtained. It follows from the main theorem that a simple algebraic group over an algebraically closed field has only finitely many conjugacy classes of maximal subgroups of positive dimension. It also follows that the maximal subgroups of sufficiently large order in finite exceptional groups of Lie type are known.

Bibliografische Details

Titel: The Maximal Subgroups of Positive Dimension ...
Verlag: Amer Mathematical Society
Erscheinungsdatum: 2004
Einband: Mass Market Paperback
Zustand: Good