Groups with the same cohomology as their profinite completions

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For any positive integer n, An is the class of all groups G such that, for 0 ≤ i ≤ n, Hi (over(G, ̂), A) ≅ Hi (G, A) for every finite discrete over(G, ̂)-module A. We describe certain types of free products with amalgam and HNN extensions that are in some of the classes An. In addition, we investigate the residually finite groups in the class A2.

Original languageEnglish (US)
Pages (from-to)1704-1722
Number of pages19
JournalJournal of Algebra
Issue number4
StatePublished - Aug 15 2008

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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