Results 141 to 150 of about 431 (150)

The Group of Outer Automorphisms and the Picard Group of an Algebra [PDF]

Algebras and Representation Theory, 1999
The primary goal of this work is to develop a strategy to compute PicK(A) and OutK(A) where A is a finite-dimensional algebra over a field K. The basic idea is to put the normal subgroup Inn*(A) of the inner automorphisms of A induced by elements of 1 + J(A), as a common denominator in the ‘fraction’ AutK(A) / Inn(A).
Francisco Guil-Asensio, Manuel Saorín
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Finite Outer Automorphism Groups of Crystallographic Groups

Experimental Mathematics, 2013
We present an algorithmic approach to the problem of calculating finite outer automorphism groups of crystallographic groups. As an intermediate product in the process, we get automorphism groups of those groups as well. In the special case of Bieberbach groups, the algorithm can be used to get information about the structure of symmetry groups of flat
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The structure of the (outer) automorphism group of a Bieberbach group

Compositio Mathematica, 2003
Referring to Tits' alternative, we develop a necessary and sufficient condition to decide whether the normalizer of a finite group of integral matrices is polycyclic-by-finite or is containing a non-Abelian free group. This result is of fundamental importance to conclude whether the (outer) automorphism group of a Bieberbach group is ...
Wim Malfait, Andrzej Szczepański
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On coleman outer automorphism groups of finite groups

Acta Mathematica Scientia, 2014
Abstract Let G be a finite group and Out Col (G) the Coleman outer automorphism group of G (for the definition, see below). The question whether Out Col (G) is a p′-group naturally arises from the study of the normalizer problem for integral group rings, where p is a prime.
Zhengxing Li, Jinke Hai
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OUTER AUTOMORPHISM GROUPS OF FINITE -NILPOTENT GROUPS

Communications in Algebra, 2002
ABSTRACT When does a finite group possess a non-trivial outer automorphism? In this paper for a finite -nilpotent group we shall prove the following results. a. If , then divides the order of b. If is non-abelian, then divides the order of . Our results extend a famous theorem of Gaschutz and can be applied to the investigation of finite complete ...
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Outer Automorphisms of Nilpotent Groups

Bulletin of the London Mathematical Society, 1981
Thomas A. Fournelle, Thomas A. Fournelle
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Groups of outer finitary automorphisms

Mathematical Notes, 2011
V. V. Belyaev, D. A. Shved
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Finite metabelian groups with no outer automorphisms

Archiv der Mathematik, 1979
Derek J. S. Robinson, Derek J. S. Robinson, Derek J. S. Robinson, Terence M. Gagen, Terence M. Gagen, Terence M. Gagen   +5 more
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The Centre of the Outer Automorphism Group of a Free Group

Bulletin of the London Mathematical Society, 1979
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Finite groups of outer automorphisms of free groups

Siberian Mathematical Journal, 1992
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