• 18 Citations
  • 2 h-Index
19982019
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Research Output 1998 2019

  • 18 Citations
  • 2 h-Index
  • 11 Article
  • 1 Comment/debate
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Article
2019

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 journalArticle

Graded Ring
Group Ring
Ring
Amenability
Von Neumann Algebra
2015

'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 journalArticle

Solvable Group
Finite Rank
Proposition
Cohomology
Topology
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 journalArticle

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 journalArticle

Solvable Group
Finite Rank
Torsion
Cohomology
Torsion-free
2012
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 journalArticle

Solvable Group
Finite Rank
Cohomology
Topology
Isomorphism
2010
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 journalArticle

Completion
Cohomology
Free Product with Amalgamation
Right-angled Artin Group
Prime number
2008
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 journalArticle

Completion
Cohomology
Residually Finite Groups
HNN Extension
Amalgam
2006

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 journalArticle

Group Extension
Nilpotent Group
P-groups
kernel
Functor
2005
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 journalArticle

Group Extension
P-groups
kernel
Nilpotent Group
Exact Sequence
2003

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 journalArticle

Group Extension
kernel
Solvable Group
Finitely Generated Group
Finitely Generated
1998
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 journalArticle

Group Extension
Nilpotent Group