Results 81 to 90 of about 186,356 (199)
ON THE SUBGROUP LATTICE OF AN ABELIAN FINITE GROUP
The aim of this paper is to give some connections between the structure of an abelian finite group and the structure of its subgroup lattice,
Marius Tarnauceanu
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Some remarks on regular subgroups of the affine group [PDF]
Let $V$ be a vector space over a field $F$ of characteristic $pgeq 0$ and let $T$ be a regular subgroup of the affine group $AGL(V)$. In the finite dimensional case we show that, if $T$ is abelian or $p>0$, then $T$ is unipotent. For $T$ abelian, pushing
M. Chiara Tamburini Bellani
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On a variation of Sands' method
A subset of a finite additive abelian group G is a Z-set if for all a∈G, na∈G for all n∈Z. The group G is called Z-good if in every factorization G=A⊕B, where A and B are Z-sets at least one factor is periodic. Otherwise G is called Z-bad.
Evelyn E. Obaid
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Automorphism Groups of Abelian p-Groups [PDF]
Let r be the automorphism group of a nonelementary reduced abelian p-group, p > 5. It is shown that every noncentral norinal subgroup of r contains a noncentral elementary abelian normal p-subgroup of r of rank at least 2. 1. The result. Throughout the following, G is a reduced p-primary abelian group, p > 5, and F is the group of all automorphisms of ...
openaire +2 more sources
Growth functions for some uniformly amenable groups
We present a simple constructive proof of the fact that every abelian discrete group is uniformly amenable. We improve the growth function obtained earlier and find the optimal growth function in a particular case.
Dronka Janusz +3 more
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Hopfian additive groups of rings [PDF]
A group is called Hopfian if it is not isomorphic to any of its proper factor groups, or, equivalently, any of its epimorphisms on itself is an isomorphism, i.e., an automorphism. This property was first proved by the Swiss mathematician H.
Kaigorodov, Evgeniy Vladimirovich
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A gap theorem for the ZL-amenability constant of a finite group [PDF]
It was shown in [A. Azimifard, E. Samei, N. Spronk, JFA 256 (2009)] that the ZL-amenability constant of a finite group is always at least~$1$, with equality if and only if the group is abelian. It was also shown in [A. Azimifard, E. Samei, N.
Yemon Choi
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C*-algebras on r-discrete Abelian Groupoids [PDF]
We study certain function algebras and their operator algebra completions on r-discrete abelian groupoids, the corresponding conditional expectations, maximal abelian subalgebras (masa) and eigen-functionals.
H. Myrnouri
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Tame logarithmic signatures of abelian groups
The security of the asymmetric cryptosystem MST1{{}_{1}} relies on the hardness of factoring group elements with respect to a logarithmic signature. In this paper we investigate the factorization problem with respect to logarithmic signatures of abelian ...
Reichl Dominik
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Finitely generated subgroups as von Neumann radicals of an Abelian group [PDF]
Let G be an infinite Abelian group. We give a complete characterization of those finitely generated subgroups of G which are the von Neumann radicals for some Hausdorff group topologies on G.
S. S. Gabriyelyan
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