Results 131 to 140 of about 661,513 (168)

Simple groups with prescribed local properties

Journal of Group Theory, 2009
Earlier the authors proved that there exist simple groups that are locally Abelian-by-finite but not locally finite and they have announced that for each \(c\geq 1\) there exist simple groups that are locally (nilpotent of class \(c\))-by-finite but not locally (nilpotent of class \(c-1\))-by-finite.
Dixon, Martyn R., Evans, Martin J., Smith, Howard   +2 more
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Property T for locally compact quantum groups

International Journal of Mathematics, 2015
In this short paper, we obtained some equivalent formulations of property T for a general locally compact quantum group 𝔾, in terms of the full quantum group C*-algebras [Formula: see text] and the *-representation of [Formula: see text] associated with the trivial unitary corepresentation (that generalize the corresponding results for locally compact
Chen, Xiao, Ng, Chi-Keung
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Some local properties of ω-stable groups

Archive for Mathematical Logic, 1988
The author shows that if G is a locally solvable group of finite Morley rank then G is solvable, and that if G is locally nilpotent of finite Morley rank and also connected, then G is nilpotent. It is pointed out that the semidirect product of \({\mathbb{Z}}(2^{\infty})\) and \({\mathbb{Z}}_ 2\), where the latter acts on the former by inversion shows ...
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Compactness properties of locally compact groups

Transformation Groups, 1997
For a discrete group \(\Gamma\) and an integer \(n\), finiteness properties \(FP_n\) and \(F_n\) are considered. They are defined as follows: \(\Gamma\) is of type \(FP_n\) if there is a projective resolution of \(\mathbb{Z} \Gamma\) over the trivial \(\mathbb{Z} \Gamma\)-module \(\mathbb{Z}\) with finitely generated modules in dimension \(\leq n\). \(\
Abels, Herbert, Tiemeyer, A.
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(B) and (H) Property on Locally Compact Groups

Mediterranean Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berić, Tomislav, Šikić, Hrvoje, Slamić, Ivana   +2 more
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Locally nilpotent groups with an intersection property

Archiv der Mathematik, 1985
Let B be a subgroup of \(\zeta_ r(G)\), the rth term of the upper central series of a torsion-free group G. Suppose all abelian subgroups of G having trivial intersection with B are of finite rank. Then all subgroups of G have finite upper central height.
Brookes, C. J. B., Heineken, H.
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Local Properties of Algebraic Group Actions

1989
In this article we present a fundamental result due to Sumihiro. It states that every normal G-variety X, where G is a connected linear algebraic group, is locally isomorphic to a quasi-projective G-variety, i.e., to a G-stable subvariety of the projective space P n with a linear G-action (Theorem 1.1).
Friedrich Knop, Hanspeter Kraft, Domingo Luna, Thierry Vust   +3 more
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Dependence of Some Properties of Groups on Group Local Number Density

Astrophysics, 2014
In this study we investigate the dependence of projected size Sizesky, and rms deviation σR of projected distance in the sky from the group center, rms velocities σV , and virial radius RVir of groups on group local number density. In the volume-limited group samples, it is found that groups in high density regions preferentially have larger Sizesky ...
Xin-Fa Deng, Ping Wu
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On the Upper Majorant Property for Locally Compact Abelian Groups

Canadian Journal of Mathematics, 1978
Let G be a compact abelian group and form the spaces LP(G) with respect to the normalized Haar measure on G.
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