Results 21 to 30 of about 3,058 (154)
On automorphisms and splittings of special groups [PDF]
Compositio Mathematica, 2021 We initiate the study of outer automorphism groups of special groups $G$, in the Haglund–Wise sense. We show that $\operatorname {Out}(G)$ is infinite if and only if $G$ splits over a co-abelian subgroup of a centraliser and there exists an infinite ...
Elia Fioravanti
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Generalized spin Sutherland systems revisited
Nuclear Physics B, 2015 We present generalizations of the spin Sutherland systems obtained earlier by Blom and Langmann and by Polychronakos in two different ways: from SU(n) Yang–Mills theory on the cylinder and by constraining geodesic motion on the N-fold direct product of ...
L. Fehér, B.G. Pusztai
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On the Root-class Residuality of HNN-extensions of Groups
Моделирование и анализ информационных систем, 2014 Let K be an arbitrary root class of groups. This means that K contains at least one non-unit group, is closed under taking subgroups and direct products of a finite number of factors and satisfies the Gruenberg condition: if 1 ≤ Z ≤ Y ≤ X is a subnormal ...
E. A. Tumanova
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Automorphisms of the loop and arc graph of an infinite-type surface [PDF]
Proceedings of the American Mathematical Society, Series B, 2019 We show that the extended based mapping class group of an infinite-type surface is naturally isomorphic to the automorphism group of the loop graph of that surface.
Anschel Schaffer-Cohen
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On automorphism groups of Toeplitz subshifts
Discrete Analysis, 2017 On automorphism groups of Toeplitz subshifts, Discrete Analysis 2017:11, 19 pp. A discrete dynamical system is a space $X$ with some kind of structure, together with a map $\sigma\colon X\to X$ that preserves the structure.
Sebastian Donoso +3 more
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The Automorphism Groups of Minimal Infinite Circulant Digraphs
European Journal of Combinatorics, 1997 Given a group \(G\), a directed graph \(X\) is called a digraph regular representation (DRR) of \(G\) if Aut\((X)\simeq G\) (as abstract groups) and the action of Aut\((X)\) on \(V(X)\) is that of a regular permutation group. It is well known that in this case \(X\) must be a Cayley digraph \(X(G,S)\) where \(S\subset G\) and \(\langle S\rangle=G ...
Meng, Jixiang, Qiongxing, Huang
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On groups with a central automorphism of infinite order [PDF]
Proceedings of the American Mathematical Society, 1992 It is shown that a group G G , whose center has finite exponent, has a central automorphism of infinite order if and only if G G has an infinite abelian direct factor. It is also shown that the group of central automorphisms of a nilpotent p p -group of infinite exponent contains an uncountable ...
Dixon, Martyn R., Evans, M. J.
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Derivations and automorphisms of locally matrix algebras and groups
Доповiдi Нацiональної академiї наук УкраїниWe describe derivations and automorphisms of infinite tensor products of matrix algebras. Using this description, we show that, for a countable–dimensional locally matrix algebra A over a field F, the dimension of the Lie algebra of outer derivations of ...
O.O. Bezushchak
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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.
Huckleberry, Alan, Isaev, Alexander
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Topological groups, automorphisms of infinite graphs and a theorem of Trofimov
Discrete Mathematics, 1998 We give a short proof of a theorem of Trofimov, using the theory of topological groups. An automorphism g of a graph is bounded if there is a number M such that the distance between a vertex v and gv is less than M for all vertices v in the graph ...
R. G. Möller
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