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researcher

P. Kropholler

3 papers hereh-index 222.1k citations87 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author1
  • first author2

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.GR3

identity via Semantic Scholar / OpenAlex

activity
20032005
most citedGroups of small homological dimension and the Atiyah Conjecture

8 citations · 9 across the 3 of their papers we have counts for

collaborators
Showing 2004Show all

1 paper · 1 filter

math.GR2004★ 8 cited

Groups of small homological dimension and the Atiyah Conjecture

Peter Kropholler, Peter Linnell, Wolfgang Lueck

A group G has homological dimension less or equal to 1 if it is locally free. We prove the converse provided that G satisfies the Atiyah Conjecture about L^2-Betti numbers. We also…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.