Results 41 to 50 of about 34,720 (216)
Automorphisms of Cuntz-Krieger algebras [PDF]
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
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]
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]
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
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
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$T_{n,r}$
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
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]
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
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

