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Finiteness properties of totally disconnected locally compact groups

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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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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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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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A Property of Locally Finite Groups

Journal of the London Mathematical Society, 1964
Hall, P., Kulatilaka, C. R.
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Properties of pseudocharacters on connected locally compact groups

Russian Journal of Mathematical Physics, 2014
Several specific properties of pseudocharacters on connected locally compact groups are indicated.
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Connectedness properties of locally compact groups

Mathematische Nachrichten, 1979
Boseck, H., Czichowski, G.
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