TY - JOUR
T1 - Groups with the same cohomology as their profinite completions
AU - Lorensen, Karl
N1 - Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2008/8/15
Y1 - 2008/8/15
N2 - 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.
AB - 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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U2 - 10.1016/j.jalgebra.2008.03.013
DO - 10.1016/j.jalgebra.2008.03.013
M3 - Article
AN - SCOPUS:46049087330
VL - 320
SP - 1704
EP - 1722
JO - Journal of Algebra
JF - Journal of Algebra
SN - 0021-8693
IS - 4
ER -