Results 231 to 240 of about 382,475 (265)
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Cyclic Groups as Autocommutator Groups
Communications in Algebra, 2006This article classifies the groups X whose autocommutator subgroup [X, Aut(X)] is isomorphic to ℤ and the finite groups X for which [X, Aut(X)] ≅ C p has a prime number p of elements.
Marian Deaconescu, Gary L. Walls
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Cyclic group blocking polyhedra
Mathematical Programming, 2012This article considers the cyclic group problem in combinatorial optimization. The authors begin with an introduction to the properties of the cyclic group polyhedron defined by the problem constraints, the properties of its facets and the associated blocking polyhedron.
Sangho Shim, Ellis L. Johnson
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The non-cancellation group of a direct power of a (finite cyclic)-by-cyclic group
manuscripta mathematica, 2004If \(M\) is a finitely generated group having finite commutator subgroup, then the set \(\chi(M)\) of all isomorphism classes of groups \(G\) such that \(G\times\mathbb{Z}\simeq M\times\mathbb{Z}\) is a finite set. For such groups \(M\) there is a group structure on \(\chi(M)\).
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2019 International Joint Conference on Neural Networks (IJCNN), 2019
We propose a new network architecture called deep cyclic group network (DCGN) that uses the cyclic group algebra for convolutional vector-neuron learning. The input to DCGN is a three-way tensor, where the mode-3 dimension corresponds to the dimensionality of the input data, e.g., three for RGB images.
Zhe-Cheng Fan +3 more
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We propose a new network architecture called deep cyclic group network (DCGN) that uses the cyclic group algebra for convolutional vector-neuron learning. The input to DCGN is a three-way tensor, where the mode-3 dimension corresponds to the dimensionality of the input data, e.g., three for RGB images.
Zhe-Cheng Fan +3 more
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Generated and cyclic fuzzy groups
Information Sciences, 1993Subgroups and normal subgroups of a fuzzy group are defined, and their criteria are established. The fuzzy order of an element of a group is defined, and its relationship with the order of a group is defined, and its relationship with the order of the element is examined.
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2012
In this chapter we begin the detailed study of the SFC property for group rings of the form Z[F n ×Φ] where F n is the free group of rank n≥1 and Φ is finite. In the first instance we consider the rings Z[F n ×C m ] where C m is the cyclic group of order m.
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In this chapter we begin the detailed study of the SFC property for group rings of the form Z[F n ×Φ] where F n is the free group of rank n≥1 and Φ is finite. In the first instance we consider the rings Z[F n ×C m ] where C m is the cyclic group of order m.
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On Nilpotent Products of Cyclic Groups
Canadian Journal of Mathematics, 1960In this paperG=F/Fnis studied forFa free product of a finite number of cyclic groups, andFnthe normal subgroup generated by commutators of weightn. The case ofn =4 is completely treated(F/F2is well known;F/F3is completely treated in (2)); special cases ofn >4 are studied; a partial conjecture is offered in regard to the unsolved cases.
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