Results 71 to 80 of about 12,625 (238)

Some remarks on regular subgroups of the affine group [PDF]

International Journal of Group Theory, 2012
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
doaj  

On the number of diamonds in the subgroup lattice of a finite abelian group

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
The main goal of the current paper is to determine the total number of diamonds in the subgroup lattice of a finite abelian group. This counting problem is reduced to finite p-groups. Explicit formulas are obtained in some particular cases.
Fodor Dan Gregorian, Tărnăuceanu Marius   +1 more
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A gap theorem for the ZL-amenability constant of a finite group [PDF]

International Journal of Group Theory, 2016
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
doaj  

Conductor of an abelian group

Journal of Algebra, 2009
The paper deals with direct sum decompositions of reduced torsion-free Abelian groups \(G\) of finite rank. The main tool is the ring \(E=E(G)=\text{End}(G)/\mathcal N\text{End}(G)\) where \(\mathcal N\text{End}(G)\) denotes the nil radical of the endomorphism ring \(\text{End}(G)\).
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Is SK1(ZΠ)=O for Π a finite abelian group [PDF]

, 1973
Hyman Bass
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On a variation of Sands' method

International Journal of Mathematics and Mathematical Sciences, 1986
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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On A-nilpotent abelian groups

Proceedings - Mathematical Sciences, 2014
Let \(G\) be a group, let \(A=\Aut(G)\) and consider the descending series \(G,K_1(G),K_2(G),\dots,K_m(G),\ldots\), where \(K_m(G)=[K_{m-1}(G), A]\). Whenever \(K_m=1\) for some positive integer \(m\), the authors call \(G\) an \(A\)-nilpotent group. It is clear that if \(G\) is \(A\)-nilpotent, then \(A\) is nilpotent, being the stability group of the
Nasrabadi, Mohammad Mehdi, Gholamian, Ali   +1 more
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On signed Mordell-Weil groups for abelian varieties [PDF]

, 2023
Jishnu Ray
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Sum-dominant sets and restricted-sum-dominant sets in finite abelian groups [PDF]

, 2014
David Penman, Matthew D. Wells
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Pcf and abelian groups

form, 2013
Abstract. We deal with some pcf (possible cofinality theory) investigations mostly motivated by questions in abelian group theory. We concentrate on applications to test problems but we expect the combinatorics will have reasonably wide applications.
openaire   +2 more sources