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1
The nonabelian tensor squares and homological functors for certain classes of groups
Published 2010“…The nonabelian tensor squares and homological functors for many groups have been determined by many authors. …”
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2
The schur multiplier and nonabelian tensor square of some groups of p-power order
Published 2013“…In 1987, the nonabelian tensor square, G ⊗ G, of a group G was introduced. …”
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3
The central subgroup of the nonabelian tensor square of a torsion free space group
Published 2016“…One of the symmetry properties is the central subgroup of the nonabelian tensor square of a group. It is a normal subgroup of the group which can be ascertained by finding the abelianisation of the group and the nonabelian tensor square of the abelianisation group. …”
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4
The nonabelian tensor square of a crystallographic group with quaternion point group of order eight
Published 2017“…One of the algebraic properties is its nonabelian tensor square. The nonabelian tensor square is a special case of the nonabelian tensor product where the product is defined if the two groups act on each other in a compatible way and their action is taken to be conjugation. …”
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5
The nonabelian tensor square of Bieberbach group of dimension five with dihedral point group of order eight
Published 2014“…The nonabelian tensor product was originated in homotopy theory as well as in algebraic K-theory. …”
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6
The presentation of the nonabelian tensor square of a Bieberbach group of dimension five with dihedral point group
Published 2014“…One of the homological functors of a group, is the nonabelian tensor square. It is important in the determination of the other homological functors of a group. …”
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7
Effects of cognitive rehabilitation in improving attention deficits and diffusion tensor imaging findings following mild traumatic brain injury
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8
First order polarization tensor approximation using multivariate polynomial interpolation method via least square minimization technique
Published 2021“…This paper proposes a new numerical approach useful in dealing with nearly singular integrals, specifically, the integral of the first order polarization tensor (PT). Polarization tensor represents the integral equations in an asymptotic series, and it can also define the boundary value problem of a partial differential equation (PDE). …”
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The exterior degree of symmetric group of order six
Published 2013“…In this research, the nonabelian tensor square, ∇(G) and the exterior square of symmetric group of order six are determined. …”
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Consistent polycyclic presentation of a Bieberbach group with a nonabelian point group
Published 2016“…Research on the nonabelian tensor square of a group is requisite on finding the other homological functors. …”
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11
Number of Compatible Pair for Nontrivial Actions of Finite Cyclic 2-Groups
Published 2016“…The nonabelian tensor product of groups has its origins in the algebraic K-theory and homotopy theory. …”
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12
Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order
Published 2016“… A compatible action played an important role before computing the nonabelian tensor product. Number of compatible actions will give the different nonabelian tensor product. …”
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13
Automorphisms of finite cyclic 3-groups
Published 2024“…A distinct compatible pair of actions will result in distinct nonabelian tensor products. This proves that the number of compatible pairs of action plays a huge role as the greatest variety nonabelian tensor product relies on it. …”
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14
Enhancing multi-aspect collaborative filtering for personalized recommendation
Published 2018“…Therefore, in this paper, we proposed the multi-aspect tensor factorization (MATF) to enhance the predictive accuracy of multi-aspect recommendation by using Tensor Factorization. …”
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15
Homological invariants of 2-generator nontorsion groups of class 2
Published 2007“…Using their classification and non-abelian tensor squares, we determine certain homological invariants in R, such as the exterior square, the symmetric square and the Schur multiplier.…”
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16
Subgraph of Compatible Action Graph for Finite Cyclic Groups of p-Power Order
Published 2019“…Given two groups G and H, then the nonabelian tensor product G ⊗ H is the group generated by g ⨂ h satisfying the relations gg' ⊗ h = (gg' ⊗ g h) (g ⨂ h) and g ⊗ hh' = (g ⊗ h) (h g' ⊗ h h) for all g g' ∈ G and h, h' ∈ H. …”
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17
Development of mobile application for detection and grading of diabetic retinopathy
Published 2022“…The preprocessed images are used to train the model in TensorFlow and Cloud AutoML, respectively. The model will be implemented into the mobile application after being trained with high accuracy. …”
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Abelianization of some finite metacyclic 2-groups
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19
Multiscale Modelling of 3-Dimensional Brain Tissue with Capillary Distribution
Published 2021“…For elastic stiffness tensor, it can be concluded that this parameter does not significantly affected the macroscale equations of bigger brain. …”
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20
Rank one preservers between spaces of boolean matrices
Published 2011“…Both results are proved in a more general setting of tensor products of two Boolean vector spaces of arbitrary dimension.…”
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