Results 41 to 50 of about 34,720 (216)

Automorphisms of Cuntz-Krieger algebras [PDF]

open access: yes, 2013
We prove that the natural homomorphism from Kirchberg's ideal-related KK-theory, KKE(e, e'), with one specified ideal, into Hom_{\Lambda} (\underline{K}_{E} (e), \underline{K}_{E} (e')) is an isomorphism for all extensions e and e' of separable, nuclear ...
Eilers, Søren   +2 more
core   +1 more source

The Automorphism Groups of Minimal Infinite Circulant Digraphs

open access: yesEuropean 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
openaire   +1 more source

On groups with a central automorphism of infinite order [PDF]

open access: yesProceedings 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.
openaire   +1 more source

The Outer Automorphism Groups of Two-Generator One-Relator Groups with Torsion [PDF]

open access: yes, 2015
The main result of this paper is a complete classification of the outer automorphism groups of two-generator, one-relator groups with torsion. To this classification we apply recent algorithmic results of Dahmani--Guirardel, which yields an algorithm to ...
Logan, Alan D.
core   +3 more sources

On the Cone conjecture for Calabi-Yau manifolds with Picard number two

open access: yes, 2013
Following a recent work of Oguiso, we calculate explicitly the groups of automorphisms and birational automorphisms on a Calabi-Yau manifold with Picard number two. When the group of birational automorphisms is infinite, we prove that the Cone conjecture
Lazić, Vladimir, Peternell, Thomas
core   +1 more source

Isomorphisms between big mapping class groups

open access: yes, 2018
We show that any isomorphism between mapping class groups of orientable infinite-type surfaces is induced by a homeomorphism between the surfaces. Our argument additionally applies to automorphisms between finite-index subgroups of these `big' mapping ...
Bavard, Juliette   +2 more
core   +1 more source

Automorphisms of the generalized Thompson's group Tn,r$T_{n,r}$

open access: yesTransactions of the London Mathematical Society, 2022
The recent paper The further chameleon groups of Richard Thompson and Graham Higman: automorphisms via dynamics for the Higman groups Gn,r$G_{n,r}$ of Bleak, Cameron, Maissel, Navas and Olukoya (BCMNO) characterizes the automorphisms of the Higman ...
F. Olukoya
semanticscholar   +1 more source

The Automorphism Tower of Groups acting on Rooted Trees

open access: yes, 2006
The group of isometries W of a regular rooted tree, and many of its subgroups with branching structure, have groups of automorphisms induced by conjugation in W.
Bartholdi, Laurent, Sidki, Said N.
core   +1 more source

DEFINABLY SIMPLE STABLE GROUPS WITH FINITARY GROUPS OF AUTOMORPHISMS [PDF]

open access: yesJournal of Symbolic Logic (JSL), 2018
We prove that infinite definably simple locally finite groups of finite centraliser dimension are simple groups of Lie type over locally finite fields.
Ulla Karhumäki
semanticscholar   +1 more source

Entropy rigidity for cusped Hitchin representations

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary   +2 more
wiley   +1 more source

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