Results 31 to 40 of about 11,140 (144)
A hitchhiker's guide to endomorphisms and automorphisms of Cuntz algebras
In this survey paper, the authors discuss various aspects of Cuntz algebras, concentrating primarily on endomorphisms and automorphisms. The authors nicely summarize many known results and provide an extensive list of open problems. Chapter 1 is an overview of the paper.
Aiello V., Conti R., Rossi S.
openaire +3 more sources
Abstract Twistor spaces are certain compact complex three‐folds with an additional real fibre bundle structure. We focus here on twistor spaces over P2#P2#P2${\mathbb {P}}^2\#{\mathbb {P}}^2\#{\mathbb {P}}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles.
Bernd Kreußler, Jan Stevens
wiley +1 more source
Derangements in intransitive groups
Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
wiley +1 more source
Endomorphism and automorphism structure of direct squares of universal algebras [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Alperin's bound and normal Sylow subgroups
Abstract Let G$G$ be a finite group, p$p$ a prime number and P$P$ a Sylow p$p$‐subgroup of G$G$. Recently, Malle, Navarro, and Tiep conjectured that the number of p$p$‐Brauer characters of G$G$ coincides with that of the normalizer NG(P)${\bf N}_G(P)$ if and only if P$P$ is normal in G$G$.
Zhicheng Feng +2 more
wiley +1 more source
On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras
We show that an outer action of a finite abelian group on a simple Cuntz-Krieger algebra is strongly approximately inner in the sense of Izumi if the action is given by diagonal quasi-free automorphisms and the associated matrix is aperiodic.
Barlak, Selçuk, Szabó, Gábor
core +1 more source
Module structure of Weyl algebras
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley +1 more source
Combination theorems for Wise's power alternative
Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen +2 more
wiley +1 more source
Coverings of solenoids and automorphisms of semigroup C*-algebras
The paper deals with finite-sheeted covering mappings onto the C*-adic solenoids and limit endomorphisms of semigroup C*-algebras. The aim of our exposition is two-fold: firstly, to present the results concerning the above-mentioned mappings and ...
R.N. Gumerov
doaj
Endomorphism and Automorphism Graphs
Let $G$ be a group. The directed endomorphism graph, \dend of $G$ is a directed graph with vertex set $G$ and there is a directed edge from the vertex `$a$' to the vertex `$\, b$' $(a \neq b) $ if and only if there exists an endomorphism on $G$ mapping $a$ to $b$.
Ajith, Midhuna V +2 more
openaire +2 more sources

