Results 31 to 40 of about 2,701,761 (237)
Locally Quasi-Convex Compatible Topologies on a Topological Group
Axioms, 2015 For a locally quasi-convex topological abelian group (G,τ), we study the poset \(\mathscr{C}(G,τ)\) of all locally quasi-convex topologies on (G) that are compatible with (τ) (i.e., have the same dual as (G,τ) ordered by inclusion.
Lydia Außenhofer +2 more
doaj +1 more source
A Chern-Simons theory for dipole symmetry
SciPost Physics, 2023 We present effective field theories for dipole symmetric topological matters that can be described by the Chern-Simons theory. Unlike most studies using higher-rank gauge theory, we develop a framework with both $U(1)$ and dipole gauge fields.
Xiaoyang Huang
doaj +1 more source
Automatic Structures: Richness and Limitations [PDF]
Logical Methods in Computer Science, 2007 We study the existence of automatic presentations for various algebraic structures. An automatic presentation of a structure is a description of the universe of the structure by a regular set of words, and the interpretation of the relations by ...
Bakhadyr Khoussainov +3 more
doaj +1 more source
On decomposable pseudofree groups
International Journal of Mathematics and Mathematical Sciences, 1999 An Abelian group is pseudofree of rank ℓ if it belongs to the extended genus of ℤℓ, i.e., its localization at every prime p is isomorphic to ℤpℓ.
Dirk Scevenels
doaj +1 more source
When the intrinsic algebraic entropy is not really intrinsic
Topological Algebra and its Applications, 2015 The intrinsic algebraic entropy ent(ɸ) of an endomorphism ɸ of an Abelian group G can be computed using fully inert subgroups of ɸ-invariant sections of G, instead of the whole family of ɸ-inert subgroups.
Goldsmith Brendan, Salce Luigi
doaj +1 more source
Separability in consistent truncations
Journal of High Energy Physics, 2021 The separability of the Hamilton-Jacobi equation has a well-known connection to the existence of Killing vectors and rank-two Killing tensors. This paper combines this connection with the detailed knowledge of the compactification metrics of consistent ...
Krzysztof Pilch +2 more
doaj +1 more source
Classifying spaces for families of abelian subgroups of braid groups, RAAGs and graphs of abelian groups [PDF]
Glasgow Math. J. 66 (2024) 290-307, 2023 Given a group $G$ and an integer $n\geq 0$ we consider the family $\mathcal{F}_n$ of all virtually abelian subgroups of $G$ of rank at most $n$. In this article we prove that for each $n\ge2$ the Bredon cohomology, with respect to the family $\mathcal{F}_n$, of a free abelian group with rank $k > n$ is nontrivial in dimension $k+n$; this answers a ...
arxiv +1 more source
Left-ordered inp-minimal groups [PDF]
Archive for Mathematical Logic (58), 267-274, 2019, 2016 We prove that any left-ordered inp-minimal group is abelian, and we provide an example of a non-abelian left-ordered group of dp-rank 2.
arxiv +1 more source
Valuations and rank of ordered abelian groups [PDF]
Proceedings of the American Mathematical Society, 2004 It is shown that there exists an ordered abelian group that has no smallest positive element and that has no sequence of nonzero elements converging to zero. Some formulae for the rank of ordered abelian groups have been derived and a necessary condition for an order type to be rank of an ordered abelian group has been discussed.
openaire +2 more sources
Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes [PDF]
International Journal of Group Theory, 2016 A group G is said to be a (PF)C-group or to have polycyclic-by-finite conjugacy classes, if G/C_{G}(x^{G}) is a polycyclic-by-finite group for all xin G. This is a generalization of the familiar property of being an FC-group.
Mounia Bouchelaghem, Nadir Trabelsi
doaj