Results 121 to 130 of about 5,884 (248)

Group actions, coverings and lifts of automorphisms

, 1998
The problem of lifting automorphisms of a (fairly arbitrary) topological space to automorphisms of a covering space is studied by means of voltage groups.
Malnič, Aleksander
core   +1 more source

Infinity‐operadic foundations for embedding calculus

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley   +1 more source

On topological groups of automorphisms

Applied General Topology
We study spaces X for which the space Homp(X) of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces X for which Homp(X) is or is not a topological group.
Raushan Buzyakova
doaj   +1 more source

ON AUTOMORPHISM GROUPS OF MATRICES

Prikladnaya diskretnaya matematika, 2010
Summary: In this paper we consider the groups of the left (right) automorphisms of matrices and their automorphism groups. Without loss of generality one can take square matrices over the ring of integers. For such a matrix, we suggest the notion of a quasiautomorphism and the correspondent notion of its quasiautomorphism group.
openaire   +2 more sources

On the automorphism groups of q-enveloping algebras of nilpotent Lie algebras [PDF]

, 2006
We investigate the automorphism group of the quantised enveloping algebra U of the positive nilpotent part of certain simple complex Lie algebras g in the case where the deformation parameter q \in \mathbb{C}^* is not a root of unity. Studying its action
Launois, Stephane
core  

The pants graph of a free group

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We introduce the concept of a pants decomposition for a finitely generated free group and construct the corresponding pants graph. A pants decomposition of a free group leads to the formation of a simplicial graph, referred to as the pants graph of a free group, consisting of all possible pants decompositions.
Donggyun Seo
wiley   +1 more source

Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley   +1 more source

A FAMILY OF ARC-TRANSITIVE GRAPHS OF GIRTH AT LEAST 5 ADMITTING A SUZUKI SIMPLE GROUP

Ural Mathematical Journal
We give a construction of a new family of Deza graphs of girth at least 5 that possess an arc-transitive group of automorphisms isomorphic to a Suzuki simple group \(Sz(q)\).
Georgy A. Glinskikh, Ludmila Yu. Tsiovkina   +1 more
doaj   +1 more source

Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices

, 2012
Baake M, Neumärker N. Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices. Discrete and continuous dynamical systems A.
Neumärker, Natascha, Baake, Michael
core   +1 more source

Tracking the symmetries of ℤ 3-orbifold K3s within the Mathieu groups

Journal of High Energy Physics
For ℤ 3-orbifold limits of K3, we provide a counterpart to the extensive studies by Nikulin and others of the geometry and symmetries of classical Kummer surfaces.
Kasia Budzik, Anne Taormina, Mara Ungureanu, Katrin Wendland, Ida G. Zadeh   +4 more
doaj   +1 more source