Outer unipotent classes in automorphism groups of simple algebraic groups
نویسندگان
چکیده
منابع مشابه
Describing unipotent classes in algebraic groups using subgroups
This paper discusses, for all characteristics, the parameterization of unipotent classes of algebraic groups using subgroups. We obtain complete parameterizations for the classical groups and partial results for the exceptional groups. We also restate previously known results using the language of subgroups. AMS subject: 14L, 20G15
متن کاملOn Outer Automorphism Groups of Coxeter Groups
It is shown that the outer automorphism group of a Coxeter group W of nite rank is nite if the Coxeter graph contains no innnite bonds. A key step in the proof is to show that if the group is irreducible and 1 and 2 any two bases of the root system of W, then 2 = w 1 for some w 2 W. The proof of this latter fact employs some properties of the dominance order on the root system introduced by Bri...
متن کاملOuter Automorphism Groups of Bieberbach Groups
Let Γ be a Bieberbach group it is a fundamental group of a flat manifold. In this paper we give necessary and sufficient conditions on Out(Γ) to be infinite. We also compare our result with the previous one ([8], Theorem 7.1) about Anosov automorphisms of flat manifolds. We give several examples of Bieberbach groups.
متن کاملMapping class groups and outer automorphism groups of free groups are C -simple
We prove that the reduced C -algebras of centerless mapping class groups and outer automorphism groups of free groups are simple, as are the irreducible pure subgroups of mapping class groups and the analogous subgroups of outer automorphism groups of free groups. r 2003 Elsevier Inc. All rights reserved. MSC: 20F28; 20F65; 46L55; 57N05
متن کاملA characterization of simple $K_4$-groups of type $L_2(q)$ and their automorphism groups
In this paper, it is proved that all simple $K_4$-groups of type $L_2(q)$ can be characterized by their maximum element orders together with their orders. Furthermore, the automorphism groups of simple $K_4$-groups of type $L_2(q)$ are also considered.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2014
ISSN: 0024-6115
DOI: 10.1112/plms/pdu011