Results 21 to 30 of about 816 (210)
Extensions of Abelian Groups of Finite Rank [PDF]
Proceedings of the American Mathematical Society, 1975 Every abelian group X oi finite rank arises as the middle group of an extension e: 0 -> F -> A" -> T->0 where F is free of finite rank zz and T is torsion with the p-ranks of T finite for all primes p. Given such a T and F we study the equivalence classes of such extensions which result from stipulating that two extensions e . : 0 -» F -> X. -» T -> 0,
S. A. Khabbaz, E. H. Toubassi
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Rings on Abelian torsion-free groups of finite rank [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2021 This paper will be published in Beitr\"{a}ge zur Algebra und Geometrie / Contributions to Algebra and ...
E. I. Kompantseva, A. A. Tuganbaev
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Elementary abelian groups of rank 5 are DCI-groups [PDF]
Journal of Combinatorial Theory, Series A, 2018 In this paper, we show that the group $\mathbb{Z}_p^5$ is a DCI-group for any odd prime $p,$ that is, two Cayley digraphs Cay$(\mathbb{Z}_p^5,S)$ and Cay$(\mathbb{Z}_p^5,T)$ are isomorphic if and only if $S=T^ $ for some automorphism $ $ of the group $\mathbb{Z}_p^5$.
Kovács, István, Feng, Yan-Quan
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Non-Abelian gauged fracton matter field theory: Sigma models, superfluids, and vortices
Physical Review Research, 2020 By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually noncommutative), we derive a class of higher-rank tensor non-Abelian gauge ...
Juven Wang, Shing-Tung Yau
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Discussiones Mathematicae - General Algebra and Applications, 2017 It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
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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
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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
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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
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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
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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
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