Groups with the same cohomology as their profinite completions

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

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
Volume320
Issue number4
DOIs
StatePublished - Aug 15 2008

Fingerprint

Completion
Cohomology
Residually Finite Groups
HNN Extension
Amalgam
Free Product
Module
Integer
Class

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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abstract = "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.",
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Groups with the same cohomology as their profinite completions. / Lorensen, Karl.

In: Journal of Algebra, Vol. 320, No. 4, 15.08.2008, p. 1704-1722.

Research output: Contribution to journalArticle

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