On equality of certain automorphism groups

Automorphism Groups of Certain Unstable Graphs

The automorphism groups of the canonical double covers of the unstable graphs in two infinite families are considered. These graphs are important from the point of view of algebraic map theory as they can be embedded into regular oriented maps.

The Automorphism Groups of a Certain Class

Allan Adler Automorphism Groups of Certain Hypersurfaces Ii

In this article, we determine the automorphism groups of a family of cubic hypersurfaces generalizing those introduced in part I. Along the way, we determine all algebraic groups which contain PSL2(Fq) and which lie in PGLn(C), where q = 2n ± 1. This is accomplished using the classification of finite simple groups, information from the ATLAS of finite simple groups, the degrees of some complex ...

AUTOMORPHISM GROUP OF GROUPS OF ORDER pqr

H"{o}lder in 1893 characterized all groups of order $pqr$ where  $p>q>r$ are prime numbers. In this paper,  by using new presentations of these groups, we compute their full automorphism group.

On 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...