Research Output per year

## Research Output 1998 2019

Article

1
Citation
(Scopus)

## Cohomology and profinite topologies for solvable groups of finite rank

Lorensen, K., Oct 1 2012, In : Bulletin of the Australian Mathematical Society. 86, 2, p. 254-265 12 p.Research output: Contribution to journal › Article

Solvable Group

Finite Rank

Cohomology

Topology

Isomorphism

## 'COHOMOLOGY AND PROFINITE TOPOLOGIES FOR SOLVABLE GROUPS OF FINITE RANK'

Lorensen, K., Apr 26 2015, In : Bulletin of the Australian Mathematical Society. 91, 2, p. 351-352 2 p.Research output: Contribution to journal › Article

Solvable Group

Finite Rank

Proposition

Cohomology

Topology

## Group extensions whose relative p-localizations split

Lorensen, K., Jan 1 2003, In : Journal of Group Theory. 6, 2, p. 209-222 14 p.Research output: Contribution to journal › Article

Group Extension

kernel

Solvable Group

Finitely Generated Group

Finitely Generated

## Group-graded rings satisfying the strong rank condition

Kropholler, P. & Lorensen, K., Dec 1 2019, In : Journal of Algebra. 539, p. 326-338 13 p.Research output: Contribution to journal › Article

Graded Ring

Group Ring

Ring

Amenability

Von Neumann Algebra

9
Citations
(Scopus)

## Groups with the same cohomology as their profinite completions

Lorensen, K., Aug 15 2008, In : Journal of Algebra. 320, 4, p. 1704-1722 19 p.Research output: Contribution to journal › Article

Completion

Cohomology

Residually Finite Groups

HNN Extension

Amalgam

4
Citations
(Scopus)

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

Lorensen, K., Jan 1 2010, In : Journal of Pure and Applied Algebra. 214, 1, p. 6-14 9 p.Research output: Contribution to journal › Article

Completion

Cohomology

Free Product with Amalgamation

Right-angled Artin Group

Prime number

1
Citation
(Scopus)

## Nonsplit nilpotent group extensions that split at every prime

Lorensen, K., Jan 1 1998, In : Mathematical Proceedings of the Cambridge Philosophical Society. 123, 2, p. 213-215 3 p.Research output: Contribution to journal › Article

Group Extension

Nilpotent Group

1
Citation
(Scopus)

## P-localizing group extensions with a finite kernel

Lorensen, K., Sep 1 2005, In : Mathematical Proceedings of the Cambridge Philosophical Society. 139, 2, p. 193-206 14 p.Research output: Contribution to journal › Article

Group Extension

P-groups

kernel

Nilpotent Group

Exact Sequence

## P-localizing group extensions with a nilpotent action on the kernel

Lorensen, K., Dec 1 2006, In : Communications in Algebra. 34, 12, p. 4345-4364 20 p.Research output: Contribution to journal › Article

Group Extension

Nilpotent Group

P-groups

kernel

Functor

1
Citation
(Scopus)

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

Kropholler, P. & Lorensen, K., Jan 1 2015, In : Transactions of the American Mathematical Society. 367, 9, p. 6441-6459 19 p.Research output: Contribution to journal › Article

Torsion-free Group

Solvable Group

Finite Rank

Torsional stress

Cohomology

## Torsion cohomology for solvable groups of finite rank

Lorensen, K., May 1 2015, In : Journal of Algebra. 429, p. 447-464 18 p.Research output: Contribution to journal › Article

Solvable Group

Finite Rank

Torsion

Cohomology

Torsion-free

Comment/debate

1
Citation
(Scopus)

## Corrigendum to "Groups with the same cohomology as their profinite completions" [J. Algebra 320 (2008) 1704-1722] (DOI:10.1016/j.jalgebra.2008.03.013)

Lorensen, K., Jan 15 2009, In : Journal of Algebra. 321, 2, 1 p.Research output: Contribution to journal › Comment/debate

Completion

Cohomology

Algebra