Results 101 to 110 of about 440,031 (362)
Local Sylow theory of totally disconnected, locally compact groups [PDF]
, 2011 We define a local Sylow subgroup of a totally disconnected, locally compact group G to be a maximal pro-p subgroup of an open compact subgroup of G. We use these subgroups to define the p-localisation of G, a locally virtually pro-p group which maps ...
Reid, Colin D.
core
Topological groups: local versus global
Applied General Topology, 2006 It is well known that locally compact groups are paracompact. We observe that this theorem can be generalized as follows: every locally paracompact group is paracompact. We prove a more general version of this statement using quotients.
A.V. Arhangelskii, Vladimir V. Uspenskij
doaj +1 more source
A property of the lamplighter group
Topological Algebra and its Applications, 2020 We show that the inert subgroups of the lamplighter group fall into exactly five commensurability classes. The result is then connected with the theory of totally disconnected locally compact groups and with algebraic entropy.
Castellano I. +2 more
doaj +1 more source
Symmetry and nonsymmetry for locally compact groups
Journal of Functional Analysis, 1979 AbstractThe class [S] of locally compact groups G is considered, for which the algebra L1(G) is symmetric (=Hermitian). It is shown that [S] is stable under semidirect compact extensions, i.e., H ϵ [S] and K compact implies K ×s H ϵ [S]. For connected solvable Lie groups inductive conditions for symmetry are given.
Leptin, Horst, Poguntke, Detlev
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Advanced Materials, EarlyView.Strategies achieving high‐energy‐density aqueous zinc‐ion batteries are summarized and analyzed from both their separate advancements and the integrated effectiveness in this review. Then, perspectives are given for valuable guidance for further development of high‐energy‐density aqueous zinc‐ion batteries.
Mingcong Tang +4 more
wiley +1 more source
The Rise of Mechanobiology for Advanced Cell Engineering and Manufacturing
Advanced Materials, EarlyView.With the growing demand for cell‐based therapies, efficient cellular engineering is crucial. This review calls for greater recognition of mechanobiology principles applied through advanced biomaterial designs, mechanical confinement, and highlights recent advances using micro/nanotechnologies to enhance cell manufacturing.
Huan Ting Ong +8 more
wiley +1 more source
Toward Zero‐Excess Alkali Metal Batteries: Bridging Experimental and Computational Insights
Advanced Materials, EarlyView.This review explores zero‐excess alkali metal batteries, highlighting anode–electrolyte interfaces, metal nucleation, dendrite growth, and SEI formation while comparing Li, Na, and K metals. It critically examines electrolyte and separator roles, emphasizing substrate design, electrolyte modifications, interfacial engineering, and solid‐state ...
Pan He +6 more
wiley +1 more source
Quantum double of a (locally) compact group
, 1996 We generalise the quantum double construction of Drinfel'd to the case of the (Hopf) algebra of suitable functions on a compact or locally compact group. We will concentrate on the *-algebra structure of the quantum double.
Communicated B. Ørsted +2 more
core +4 more sources
On continuity of measurable group representations and homomorphisms [PDF]
, 2015 Let G be a locally compact group, and let U be its unitary representation on a Hilbert space H. Endow the space L(H) of linear bounded operators on H with weak operator topology. We prove that if U is a measurable map from G to L(H) then it is continuous.
Kuznetsova, Yulia
core
On locally compact groups with zero
Visnyk Lvivskogo Universytetu. Seriya Mekhaniko-Matematychna, 2019 6 pages, in Ukrainian, Visnyk Lviv. Univ., Ser. Mekh.-Mat. 2019 (to appear)
openaire +3 more sources