Results 41 to 50 of about 12,511,421 (301)
On Group Codes Over Elementary Abelian Groups
Sultan Qaboos University Journal for Science, 2003 For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group.
Adnan A. Zain
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The character of free topological groups I
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions are given for the character in ...
Peter Nickolas, Mikhail Tkachenko
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Annihilating Graph of Abelian Groups
پژوهشهای ریاضی, 2021 In [18], the author associated a graph to an R -module M which is precisely a generalization of annihilating ideal graph of a commutative ring, see [15] and [16]. Inasmuch as Abelian groups are precisely Z-modules, in this paper we relate an annihilating
saeed safaeeyan, Soraya Barzegar
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On Some Results of a Torsion-Free Abelian Kernel Group
Recoletos Multidisciplinary Research Journal, 2014 In [6], for any torsion-free abelian groups Gand H, the kernel of Hin GisfHGGHHomfker, ker,. The kernel of Hin Gis a pure fully invariant subgroup of G.
Ricky B. Villeta
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Majorana meets Coxeter: Non-Abelian Majorana Fermions and Non-Abelian Statistics
, 2011 We discuss statistics of vortices having zero-energy non-Abelian Majorana fermions inside them. Considering the system of multiple non-Abelian vortices, we derive a non-Abelian statistics that differs from the previously derived non-Abelian statistics ...
J. E. Humphreys +3 more
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Compact-like abelian groups without non-trivial quasi-convex null sequences
, 2013 In this paper, we study precompact abelian groups G that contain no sequence {x_n} such that {0} \cup {\pm x_n : n \in N} is infinite and quasi-convex in G, and x_n --> 0. We characterize groups with this property in the following classes of groups: (a)
Dikranjan, D., Lukács, Gábor
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The Capacity of Finite Abelian Group Codes Over Symmetric Memoryless Channels
IEEE Transactions on Information Theory, 2009 The capacity of finite Abelian group codes over symmetric memoryless channels is determined. For certain important examples, such as m -PSK constellations over additive white Gaussian noise (AWGN) channels, with m a prime power, it is shown that this ...
G. Como, F. Fagnani
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Freiman's theorem in an arbitrary abelian group [PDF]
, 2005 A famous result of Freiman describes the structure of finite sets A ⊆ ℤ with small doubling property. If |A + A| ⩽ K|A|, then A is contained within a multidimensional arithmetic progression of dimension d(K) and size f(K)|A|.
B. Green, I. Ruzsa
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Proceedings of the American Mathematical Society, 1967 Finite p-groups in which the relation (xy)P =xPyP is satisfied by all elements x, y have been called p-abelian by C. Hobby [1]. Two examples of classes of such groups are the groups of exponent p and the abelian p-groups. The purpose of this note is to show that these two classes of groups "span" the class of p-abelian groups in the following sense. If
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Flat Pseudo-Riemannian Homogeneous Spaces with Non-Abelian Holonomy Group
, 2010 We construct homogeneous flat pseudo-Riemannian manifolds with non-abelian fundamental group. In the compact case, all homogeneous flat pseudo-Riemannian manifolds are complete and have abelian linear holonomy group.
Baues, Oliver, Globke, Wolfgang
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