Results 51 to 60 of about 146,496 (209)
Abelian subgroup separability of some one-relator groups
We prove that any group in the class of one-relator groups given by the presentation 〈a,b;[am,bn]=1〉, where m and n are integers greater than 1, is cyclic subgroup separable (or πc).
D. Tieudjo
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Bohr sets in sumsets II: countable abelian groups
We prove three results concerning the existence of Bohr sets in threefold sumsets. More precisely, letting G be a countable discrete abelian group and $\phi _1, \phi _2, \phi _3: G \to G$ be commuting endomorphisms whose images have finite indices,
John T. Griesmer +2 more
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The path group construction of Lie group extensions
We present an explicit realization of abelian extensions of infinite dimensional Lie groups using abelian extensions of path groups, by generalizing Mickelsson's approach to loop groups and the approach of Losev-Moore-Nekrasov-Shatashvili to current ...
Vizman, Cornelia
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A Re‐Examination of Foundational Elements of Cosmology
ABSTRACT This paper undertakes a conceptual re‐examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann–Lemaître–Robertson–Walker metric is obtained by a careful conceptual examination of rotations and translations on generic manifolds, followed by solving the rotational and ...
Lavinia Heisenberg
wiley +1 more source
The cubic power graph of finite abelian groups
Let G be a finite abelian group with identity 0. For an integer the additive power graph of G is the simple undirected graph with vertex set G in which two distinct vertices x and y are adjacent if and only if x + y = nt for some with When the additive ...
R. Raveendra Prathap, T. Tamizh Chelvam
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Homomorphically Stable Abelian Groups
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
ABSTRACT We propose a manifestly duality‐invariant, Lorentz‐invariant, and local action to describe quantum electrodynamics in the presence of magnetic monopoles that derives from Sen's formalism. By employing field strengths as the dynamical variables, rather than potentials, this formalism resolves longstanding ambiguities in prior frameworks.
Aviral Aggarwal +2 more
wiley +1 more source
On the Cayley-Hamilton property in abelian groups
In this paper, the work of Casacuberta and Hilton on the class of abelian fg-like groups is extended. These groups share much in common with the class of finitely generated abelian groups.
Robert R. Militello
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Unitary representability of free abelian topological groups
For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
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Strictly positive definite functions on compact abelian groups
We study the Fourier characterisation of strictly positive definite functions on compact abelian groups. Our main result settles the case $G = F \times \mathbb{T}^r$, with $r \in \mathbb{N}$ and $F$ finite.
Emonds, Jan, Fuehr, Hartmut
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