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The essentially chief series of a compactly generated locally compact group

, 2015
We first obtain finiteness properties for the collection of closed normal subgroups of a compactly generated locally compact group. Via these properties, every compactly generated locally compact group admits an essentially chief series – i.e.
Colin D. Reid, Phillip R. Wesolek
semanticscholar   +1 more source

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 \(\leq n\). \(\
A. Tiemeyer, Herbert Abels
openaire   +3 more sources

THE TWO-SIDED REGULAR REPRESENTATION OF A UNIMODULAR LOCALLY COMPACT GROUP

, 1950
We show that for any unimodular locally compact group G, the lattice of all closed linear subspaces in L2(G) which are invariant under right and left translations is a Boolean algebra.
I. Segal
semanticscholar   +1 more source

On Extensions of Locally Compact Groups

American Journal of Mathematics, 1966
Let Q be a locally compact group, and let K be a Q-module, that is, a locally compact Abelian group on which Q operates continuously as a group of automorphisms. An extension of Q by K is a locally compact group, G, together with a homomorphism, p, of G onto Q, and a topological isomorphism, i, of K onto the kernel of p, such that p induces a ...
openaire   +3 more sources

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