Results 61 to 70 of about 16,276 (205)
Refined solvable presentations for polycyclic groups [PDF]
We describe a new type of presentation that, when consistent, describes a polycyclic group. This presentation is obtained by re ning a series of normal subgroups with abelian sections.
René Hartung, Gunnar Traustason
doaj
Bordered Floer homology, handlebody detection, and compressing diffeomorphisms
Abstract We show that, up to connected sums with integer homology L$L$‐spaces, bordered Floer homology detects handlebodies, as well as whether a mapping class extends over a given handlebody or compression body. Using this, we combine ideas of Casson–Long with the theory of train tracks to give an algorithm using bordered Floer homology to detect ...
Akram Alishahi, Robert Lipshitz
wiley +1 more source
In this paper we consider finite p′-nilpotent groups which is a generalization of finite p-nilpotent groups. This generalization leads us to consider the various special subgroups such as the Frattini subgroup, Fitting subgroup, and the hypercenter in ...
S. Srinivasan
doaj +1 more source
Universal properties of Delannoy categories
Abstract Recently, Harman and Snowden introduced a new symmetric tensor category Perm̲(G,μ)$\operatorname{\underline{Perm}}(G, \mu)$ associated with an oligomorphic group G$G$ with a measure μ$\mu$. When G$G$ is the group of order‐preserving self‐bijections of the real line there are four such measures, and the resulting tensor categories are called ...
Kevin Coulembier +2 more
wiley +1 more source
Nilpotent Sabinin algebras [PDF]
In this paper we establish several basic properties of nilpotent Sabinin algebras. Namely, we show that nilpotent Sabinin algebras (1) can be integrated to produce nilpotent loops, (2) satisfy an analogue of the Ado theorem, (3) have nilpotent Lie ...
Mostovoy, J. [0000-0001-5184-1828] +4 more
core +1 more source
The Centralizer of a Nilpotent Section [PDF]
Let F be an algebraically closed field and let G be a semisimple F-algebraic group for which the characteristic of F is very good. If X ∈ Lie(G) = Lie(G)(F) is a nilpotent element in the Lie algebra of G, and if C is the centralizer in G of X, we show that (i) the root datum of a Levi factor of C, and (ii) the component group C/C° both depend only on ...
openaire +4 more sources
The diagonal dimension of sub‐C∗$\mathrm{C}^*$‐algebras
Abstract We introduce diagonal dimension, a version of nuclear dimension for diagonal sub-C∗$\text{sub-}\mathrm{C}^*$‐algebras (sometimes also referred to as diagonal C∗$\mathrm{C}^*$‐pairs). Our concept has good permanence properties and detects more refined information than nuclear dimension.
Kang Li +2 more
wiley +1 more source
On the chain of commuting operators on Banach spaces
Abstract An operator T$T$ on a Banach space is said to be of chain N$N$ if there exist non‐scalar operators S1,⋯,SN−1$S_1,\dots,S_{N-1}$ and a non‐zero compact operator K$K$ such that T↔S1↔S2↔⋯↔SN−1↔K,$$\begin{equation*} T \leftrightarrow S_1 \leftrightarrow S_2 \leftrightarrow \dots \leftrightarrow S_{N-1} \leftrightarrow K, \end{equation*}$$where A↔B$
Tomasz Szczepanski
wiley +1 more source
Positive stable linear systems with desired poles and zeros [PDF]
A new method of the decomposition of the fractional descriptor linear continuoustime and discrete-time systems into dynamical and static parts is proposed.
Lukasz Sajewski, Tadeusz Kaczorek
doaj +1 more source
Geometry of essential matrix ranges and the Smith–Ward problem for operator systems
Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick +2 more
wiley +1 more source

