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Non-invertible symmetries in finite-group gauge theory
Published 2025-01-01“…We investigate the invertible and non-invertible symmetries of topological finite-group gauge theories in general spacetime dimensions, where the gauge group can be abelian or non-abelian. …”
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Representation theory of finite abelian groups applied to a linear diatomic crystal
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Orbifolds and finite group representations
Published 2001-01-01“…We present our recent understanding on resolutions of Gorenstein orbifolds, which involves the finite group representation theory. We concern only the quotient singularity of hypersurface type. …”
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Finite family groups for fermionic and leptoquark mixing patterns
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Equivariant Perturbation in Gomory and Johnson’s Infinite Group Problem. VII. Inverse Semigroup Theory, Closures, Decomposition of Perturbations
Published 2022-09-01“…In this self-contained paper, we present a theory of the piecewise linear minimal valid functions for the 1-row Gomory–Johnson infinite group problem. …”
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BPS states, conserved charges and centres of symmetric group algebras
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Conformal line defects at finite temperature
Published 2025-01-01“…We study conformal field theories at finite temperature in the presence of a temporal conformal line defect, wrapping the thermal circle, akin to a Polyakov loop in gauge theories. …”
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Some Results on Neutrosophic Group
Published 2023-01-01“…We also present a similar application to the fundamentals of group theory. We define and study the so-called level subgroups of a neutrosophic subgroup in order to characterize neutrosophic subgroups of finite cyclic groups in a similar way.…”
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Eigenvalues of Relatively Prime Graphs Connected with Finite Quasigroups
Published 2024-01-01“…Many studies have focused on the spectral properties of simple graphs connected to associative algebras like finite groups and rings, but the same research direction remains unexplored for loop groups and quasigroups. …”
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Automorphisms of Regular Wreath Product 𝑝-Groups
Published 2009-01-01“…We also present a short new proof, based on representation theory, for determining the order of the automorphism group Aut(𝑃), where 𝑃 is the regular wreath product of a finite cyclic 𝑝-group by an arbitrary finite 𝑝-group.…”
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Minimal non-abelian groups with an average condition on subgroups
Published 2025-01-01“…In [On a question of Jaikin-Zapirain about the average order elements of finite groups, Int. J. Group Theory, To appear] we proved that every abelian group satisfies the average condition. …”
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Finding product sets in some classes of amenable groups
Published 2025-01-01“…In this paper, we extend this result to several important classes of amenable groups, including all finitely generated virtually nilpotent groups and all abelian groups $(G,+)$ with the property that the subgroup $2G := \{g+g : g\in G\}$ has finite index. …”
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One-dimensional QCD at finite density and its ’t Hooft-Veneziano limit
Published 2025-01-01“…Abstract An exact solution of one-dimensional lattice gauge theory at finite temperature and non-zero chemical potential is reviewed for the gauge groups G = Z(N), U(N), SU(N) for all values of N and the number of fermion flavors N f . …”
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Finite Element Analysis of Thermal-structural Coupling for an Aeronautical Spiral Bevel Gear
Published 2018-01-01“…According to the basic theory of heat transfer,gear meshing and tribology,using thermal-structure coupling theory and finite element whole simulation analysis method,the three-dimensional finite element model for a pair of spiral bevel gear in the use of aeronautic is established. …”
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Improvement on Structural Forms of Pile Group Foundations of Deepwater Bridges
Published 2019-01-01“…Then, a pile group foundation is taken as the research object, and different pile lengths ranging from 16 m to 46 m are considered. …”
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A Staged Finite-Time Control Strategy for Formation of Underactuated Unmanned Surface Vehicles
Published 2021-01-01“…The formation control issue for a group of underactuated unmanned surface vehicles (USVs) is discussed in the paper, and a staged finite-time control strategy for the USVs is proposed. …”
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The Projective Character Tables of a Solvable Group 26:6×2
Published 2019-01-01“…These tables become very useful if one wants to construct the ordinary character table of G¯ by means of Fischer–Clifford theory. The method presented here is very effective to compute the irreducible projective character tables of a finite soluble group of manageable size.…”
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Three-Dimensional Prescribed-Time Pinning Group Cooperative Guidance Law
Published 2021-01-01“…Firstly, combining a prescribed-time scaling function with pinning group consensus theory, the prescribed-time consensus-based cooperative guidance law is proposed. …”
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