Results 121 to 130 of about 263 (149)

The infinite dihedral group as automorphism group.

2002
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F. DE GIOVANNI, RUSSO, Alessio
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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.
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Algebraic curves with an infinite automorphism group

Mathematical Notes of the Academy of Sciences of the USSR, 1978
Irreducible algebraic curves X (not necessarily smooth and complete) for which the group Aut X of biregular automorphisms is infinite are classified. Applications of the results obtained to the theory of algebraic transformation groups are given.
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Infinite generation of automorphism groups of free pro-p groups

Siberian Mathematical Journal, 1993
The author considers the automorphism group of a free pro-\(p\) group as well as the automorphism group of a free profinite group \(F_ n\). The results concern uniformly saturated pro-\(p\) groups. It is proved that if \(G_ 0\) is a saturated pro-\(p\) group, then the completed group algebra \(\widehat {S} =Z/_ p Z[[G_ 0]]\) satisfies the maximal ...
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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.
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Artinian automorphisms of infinite groups

2006
An automorphism alpha of a group G is called an artinian automorphism if for every strictly descending chain H_1 > H_2 > ... > H_n > ... of subgroups of G there exists a positive integer m such that (H_n)^alpha = H_n for every n>m. In this paper we show that in many cases the group of all artinian automorphisms of G coincides with the group of all ...
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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].
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Automorphisms and derivations of algebras of infinite matrices

Linear Algebra and Its Applications, 2022
Oksana Bezushchak
exaly  

INFINITE TORSION GROUPS AS AUTOMORPHISM GROUPS

The Quarterly Journal of Mathematics, 1979
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Groups of Automorphisms of Infinite Soluble Groups

Proceedings of the London Mathematical Society, 1973
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