Results 171 to 180 of about 34,720 (216)

GROUPS OF AUTOMORPHISMS OF INFINITE-DIMENSIONAL SIMPLE LIE ALGEBRAS

Mathematics of the USSR-Izvestiya, 1969
We explicitly describe the groups of automorphisms of the four canonical series of infinite-dimensional simple topological Lie algebras.
A. Rudakov
semanticscholar   +2 more sources

On commuting automorphisms of some infinite groups

Journal of Algebra and Its Applications
Let [Formula: see text] be a group, and let [Formula: see text] be an automorphism of [Formula: see text]. If [Formula: see text] then [Formula: see text] is said to be a commuting automorphism. The set of all such automorphisms is denoted by [Formula: see text].
Pradeep Kumar
semanticscholar   +2 more sources

On central automorphisms of infinite groups

Communications in Algebra, 1994
S. Franciosi, F. Giovanni, M. Newell
semanticscholar   +3 more sources

Groups of Automorphisms of Infinite Soluble Groups

Proceedings of the London Mathematical Society, 1973
D. Segal
semanticscholar   +2 more sources

Automorphisms of free metabelian groups of infinite rank

Communications in Algebra, 1992
R. Bryant, J. Groves
semanticscholar   +3 more sources

Automorphism Groups of Infinite Semilinear Orders (I)

Proceedings of the London Mathematical Society, 1989
Results are obtained concerning the automorphism groups of certain infinite semilinear orders. In particular, countable 2-homogeneous semilinear orders and certain generalizations are examined. It is shown that the automorphism group of such a structure has a unique largest proper normal subgroup, a unique smallest non-trivial normal subgroup, and \(2^{
Droste, M., Holland, W. C., Macpherson, H. D.   +2 more
openaire   +1 more source

Infinite generation of automorphism groups

1989
Let G(n) be the free group of finite rank n in a variety V. Since 1982, it has been known that Aut G(n), the automorphism group of G(n), may not be finitely generated for certain n. But is it always true that Aut G(n) is finitely generated for all but a few number of dimensions n?
Seymour Bachmuth, H. Y. Mochizuki
openaire   +1 more source

On automorphisms fixing infinite subgroups of groups

Archiv der Mathematik, 1990
An automorphism of a group G is said to be a power automorphism if it maps every subgroup of G onto itself. The set PAut G of all power automorphisms of G is an abelian normal subgroup of the full automorphism group Aut G, whose properties were investigated by \textit{C. Cooper} [Math. Z. 107, 335-356 (1968; Zbl 0169.338)].
CURZIO, MARIO, FRANCIOSI, SILVANA BARBARA, DE GIOVANNI, FRANCESCO, F.   +3 more
openaire   +3 more sources

Finite Groups Which are Automorphism Groups of Infinite Groups Only

Canadian Mathematical Bulletin, 1985
AbstractThe object of this paper is to exhibit an infinite set of finite semisimple groups H, each of which is the automorphism group of some infinite group, but of no finite group. We begin the construction by choosing a finite simple group S whose outer automorphism group and Schur multiplier possess certain specified properties.
openaire   +2 more sources

On the automorphisms of the Drinfeld modular groups

Journal of Algebra and its Applications
Let $A$ be the ring of elements in an algebraic function field $K$ over $\mathbb{F}_q$ which are integral outside a fixed place $\infty$. In contrast to the classical modular group $SL_2(\mathbb{Z})$ and the Bianchi groups, the {\it Drinfeld modular ...
A. W. Mason, Andreas Schweizer
semanticscholar   +1 more source