Results 121 to 130 of about 259 (146)

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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On the Automorphism Group of An Infinite Primary Abelian Group

Journal of the London Mathematical Society, 1966
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Entropy of some automorphisms of theII 1-factor of the free group in infinite number of generators

Inventiones Mathematicae, 1992
Erling Størmer
exaly  

Automorphisms of infinite Johnson graphs

Discrete Mathematics, 2013
Mark Pankov
exaly