2014 | OriginalPaper | Buchkapitel
New Approaches in Black Box Group Theory
verfasst von : Alexandre Borovik, Şükrü Yalçınkaya
Erschienen in: Mathematical Software – ICMS 2014
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
We introduce a new approach in black box group theory which deals with black box group problems in the category of black boxes and their morphisms. This enables us to enrich black box groups by actions of outer automorphisms such as Frobenius maps or graph automorphisms of simple groups of Lie type. As an application of this new technique, we present a number of new results, including a solution of an old problem about constructing unipotent elements in groups of Lie type of odd characteristic.