Results 11 to 20 of about 34,720 (216)
Infinite transitivity for automorphism groups of the affine plane [PDF]
, 2022 14 pages, 1 ...
Alisa Chistopolskaya, Gregory Taroyan
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Infinitesimal CR automorphisms and stability groups of infinite-type models in C2 [PDF]
, 2016 The purpose of this paper is to give explicit descriptions for stability groups of real rigid hypersurfaces of infinite type in $\mathbb C^2$. The decompositions of infinitesimal CR automorphisms are also given.
Atsushi Hayashimoto, Ninh Van Thu
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Del Pezzo surfaces with infinite automorphism groups [PDF]
, 2020 We classify del Pezzo surfaces with Du Val singularities that have infinite automorphism groups, and describe the connected components of their automorphisms groups.
Ivan Cheltsov, Yuri Prokhorov
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Infinite-dimensionality of the Automorphism Groups of Homogeneous Stein Manifolds [PDF]
Mathematische Annalen, 2008 We show that the group of holomorphic automorphisms of a Stein manifold X of dimension greater than 1 is infinite-dimensional, provided X is a homogeneous space of a holomorphic action of a complex Lie group.
Alan Huckleberry, Alexander Isaev
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The Automorphism Group of the Infinite-Rank Free Group is Coarsely Bounded [PDF]
, 2022 4 pages. v2: Incorporated referee's comment.
George Domat +2 more
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Elementary abelianp-groups as automorphism groups of infinite groups. I
Mathematische Zeitschrift, 1979 If G is a group we will write Aut G for the group of all automorphisms of G and Inn G for the normal subgroup of all inner automorphisms of G. Many authors have studied the relationship between the structure of G and that of Aut G, in particular when the latter is finite. This paper is a further contribution to this study.
T. Fournelle
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On the Automorphisms of Infinite Chevalley Groups
Canadian Journal of Mathematics, 1969 In (8, § 3.2) Steinberg proved the following result.THEOREM. Let K be a finite field, G′ a simple Chevalley group (“normal type1”) over K. Then every automorphism of G’ is the composite of inner, graph, field, and diagonal automorphisms.For the meaning of these notions, see (8).
J. Humphreys
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Splittings and automorphisms of relatively hyperbolic groups [PDF]
, 2014 We study automorphisms of a relatively hyperbolic group G. When G is one-ended, we describe Out(G) using a preferred JSJ tree over subgroups that are virtually cyclic or parabolic. In particular, when G is toral relatively hyperbolic, Out(G) is virtually
Guirardel, Vincent, Levitt, Gilbert
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Automorphisms of relatively free nilpotent groups of infinite rank
Journal of Algebra, 1989 The following striking result is proved: If \(F\) is a free group of infinite rank and \(V\) is a characteristic subgroup such that \(F/V\) is nilpotent, then the automorphisms of \(F/V\) are all ``tame'', in the sense of being induced by automorphisms of \(F\).
R. Bryant, O. Macedońska
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The Construction of Fields with Infinite Cyclic Automorphism Group [PDF]
Canadian Journal of Mathematics, 1965 This paper deals with a problem raised in a paper by J. de Groot (1): Do there exist fields Ω whose full automorphism group is isomorphic to the additive group of integers Z?The answer to this question is yes. In this paper we construct, given any subfield k of the complex numbers, extension fields Ω of k such that the automorphism group G(Ω/k) of Ω ...
Willem Kuyk
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