Results 291 to 300 of about 965,975 (328)

F-partitions of Cyclic Groups

Applicable Algebra in Engineering, Communication and Computing, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thomas H. E. Ericson, Juriaan Simonis, Hannu Tarnanen, Victor A. Zinoviev   +3 more
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Groups with a Cyclic Group as Lattice-Homomorph

The Annals of Mathematics, 1948
Nach einleitenden Sätzen über die homomorphe Abbildung von Untergruppen wird der Satz bewiesen: Es seien \(L(G)\) und \(L(H)\) die Verbände der Untergruppen zweier Gruppen \(G\) and \(H\). \(G\) sei endlich, \(H\) zyklisch von der Ordnung \(\prod_{i=1}^m p_i^{a_i}\). Es sei \(f\) ein Homomorphismus von \(L(G)\) auf \(L(H)\).
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On the Factorization of Cyclic Groups

Indagationes Mathematicae (Proceedings), 1953
This article also appeared in Indagationes mathematicae.
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Cyclically Presented Groups Embedded in One-Relator Products of Cyclic Groups

Proceedings of the American Mathematical Society, 1993
We consider the groups defined by the presentations \[ ⟨ a , b : a 2 = b n = a b − 1 a b
CAMPBELL, CM, HEGGIE, PM, ROBERTSON, EF, THOMAS, RM   +3 more
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Cyclic Groups as Autocommutator Groups

Communications in Algebra, 2006
This 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, 2012
This 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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Deep Cyclic Group Networks

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, Tak-Shing Chan, Yi-Hsuan Yang, Jyh-Shing Roger Jang   +3 more
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The non-cancellation group of a direct power of a (finite cyclic)-by-cyclic group

manuscripta mathematica, 2004
If \(M\) 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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Cyclic Group Divisible Designs

Calcutta Statistical Association Bulletin, 1995
New cyclic solutions of several group divisible incomplete block designs arc presented, A new group divisible desian is reported whose solution is also cyclic. We also present non-isomorphic solutions of several group divisible designs listed in the catalogue of Clatworthy (1973).
Midha, Chand K., Dey, Aloke
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Generated and cyclic fuzzy groups

Information Sciences, 1993
Subgroups 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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