Results 1 to 10 of about 631,489 (98)

Finiteness Properties of Some Groups of Local Similarities [PDF]

Proceedings of the Edinburgh Mathematical Society, 2015
AbstractHughes has defined a class of groups that we call finite similarity structure (FSS) groups. Each FSS group acts on a compact ultrametric space by local similarities. The best-known example is Thompson’s group V. Guided by previous work on Thompson’s group, we show that many FSS groups are of type F∞.
Farley, Daniel S., Hughes, Bruce
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Local topological properties of asymptotic cones of groups [PDF]

Algebraic & Geometric Topology, 2014
We define a local analogue to Gromov's loop division property which is use to give a sufficient condition for an asymptotic cone of a complete geodesic metric space to have uncountable fundamental group. As well, this property is used to understand the local topological structure of asymptotic cones of many groups currently in the literature.
Conner, Gregory R, Kent, Curtis
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Localization properties of groups of eigenstates in chaotic systems [PDF]

Physical Review E, 2001
In this paper we study in detail the localized wave functions defined in Phys. Rev. Lett. {\bf 76}, 1613 (1994), in connection with the scarring effect of unstable periodic orbits in highly chaotic Hamiltonian system. These functions appear highly localized not only along periodic orbits but also on the associated manifolds.
Wisniacki, D. A., Borondo, F., Vergini, E., Benito, R. M.   +3 more
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Stability of Properties of Locales Under Groups [PDF]

Applied Categorical Structures, 2016
Given a particular collection of categorical axioms, aimed at capturing properties of the category of locales, we show that if $\mathcal{C}$ is a category that satisfies the axioms then so too is the category $[ G, \mathcal{C}]$ of $G$-objects, for any internal group $G$. To achieve this we prove a general categorical result: if an object $S$ is double
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The properties of ‘dark’ ΛCDM haloes in the Local Group [PDF]

Monthly Notices of the Royal Astronomical Society, 2016
We examine the baryon content of low-mass Λ cold dark matter (ΛCDM) haloes (108 < M200/M⊙ < 5 × 109) using the APOSTLE cosmological hydrodynamical simulations. Most of these systems are free of stars and have a gaseous content set by the combined effects of cosmic reionization, which imposes a mass-dependent upper limit, and of ram-pressure stripping ...
Alejandro Benitez-Llambay, Julio F. Navarro, Carlos S. Frenk, Till Sawala, Kyle Oman, Azadeh Fattahi, Matthieu Schaller, Joop Schaye, Robert A. Crain, Tom Theuns   +9 more
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Finiteness properties of totally disconnected locally compact groups [PDF]

Journal of Algebra, 2020
In this paper we investigate finiteness properties of totally disconnected locally compact groups for general commutative rings $R$, in particular for $R = \mathbb{Z}$ and $R= \mathbb{Q}$. We show these properties satisfy many analogous results to the case of discrete groups, and we provide analogues of the famous Bieri's and Brown's criteria for ...
Castellano I., Corob Cook G.
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Some properties of distal actions on locally compact groups [PDF]

Ergodic Theory and Dynamical Systems, 2017
We consider the actions of (semi)groups on a locally compact group by automorphisms. We show the equivalence of distality and pointwise distality for the actions of a certain class of groups. We obtain a decomposition for contraction groups of an automorphism under certain conditions.
Raja, C. R. E., Shah, Riddhi
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Some local properties defining $\mathcal T_0$-groups and related classes of groups [PDF]

Publicacions Matemàtiques, 2016
A group \(G\) is called a Hall\(_{\mathcal X}\)-group if there exists a normal nilpotent subgroup \(N\) of \(G\) for which \(G/N'\) is an \(\mathcal X\)-group (so, according to the famous theorem of P. Hall, Hall\(_{\mathcal N}\)-groups are just the nilpotent groups if \(\mathcal N\) denotes the class of nilpotent groups).
Ballester-Bolinches, A., Beidleman, J.C., Esteban-Romero, R., Ragland, M.F.   +3 more
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Finiteness properties of locally defined groups

Journal of Combinatorial Algebra
Let X be a set and let S be an inverse semigroup of partial bijections of X ...
Farley, Daniel S., Hughes, Bruce
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Properties of locally semi-compact Ir-topological groups

Open Mathematics, 2023
Abstract This study investigates some topological properties of locally semi-compact Ir-topological groups and establishes the relationship between Ir-topological groups and semi-compact spaces. The proved theorems generalize the corresponding results of Ir-topological group.
Wang ZhongLi, Teh Wen Chean
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