K. Lorensen

activity

20082025

most citedGroups with the same cohomology as their pro-

p

completions

2 citations · 4 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.GR2015★ 1 cited

Virtually torsion-free covers of minimax groups

Peter Kropholler, Karl Lorensen

We prove that every finitely generated, virtually solvable minimax group can be expressed as a homomorphic image of a virtually torsion-free, virtually solvable minimax group. This…

math.GR2014

Torsion cohomology for solvable groups of finite rank

Karl Lorensen

We define a class $U$ of solvable groups of finite abelian section rank which includes all such groups that are virtually torsion-free as well as those that are finitely…

math.GR2013★ 1 cited

The cohomology of virtually torsion-free solvable groups of finite rank

Peter Kropholler, Karl Lorensen

Assume that $G$ is a virtually torsion-free solvable group of finite rank and $A$ a $Z G$ -module whose underlying abelian group is torsion-free and has finite rank. We stipu…

math.GR2011

Cohomology and profinite topologies for solvable groups of finite rank

Karl Lorensen

Assume $G$ is a solvable group whose elementary abelian sections are all finite. Suppose, further, that $p$ is a prime such that $G$ fails to contain any subgroups isomorphic to $C…

math.GR2010

Ascending HNN extensions of polycyclic groups have the same cohomology as their profinite completions

Karl Lorensen

Assume $G$ is a polycyclic group and $ϕ : G \to G$ an endomorphism. Let $G *_{ϕ}$ be the ascending HNN extension of $G$ with respect to $ϕ$ ; that is, $G *_{ϕ}$ is given by the present…

math.GR2008★ 2 cited

Groups with the same cohomology as their pro- $p$ completions

Karl Lorensen

For any prime $p$ and group $G$ , denote the pro- $p$ completion of $G$ by $G^^{p}$ . Let $C$ be the class of all groups $G$ such that, for each natural number $n$ and pr…

math.GR2008

Groups with the same cohomology as their profinite completions

Karl Lorensen

For any positive integer $n$ , $A_{n}$ is the class of all groups $G$ such that, for $0 \leq i \leq n$ , $H^{i} (G^, A) ≅ H^{i} (G, A)$ for every finite discrete $G^$ -modu…

Virtually torsion-free covers of minimax groups

Torsion cohomology for solvable groups of finite rank

The cohomology of virtually torsion-free solvable groups of finite rank

Cohomology and profinite topologies for solvable groups of finite rank

Ascending HNN extensions of polycyclic groups have the same cohomology as their profinite completions

Groups with the same cohomology as their pro-p completions

Groups with the same cohomology as their profinite completions

Groups with the same cohomology as their pro- $p$ completions