TY - JOUR
T1 - Bounded cohomology characterizes hyperbolic groups
AU - Mineyev, Igor
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2002/3
Y1 - 2002/3
N2 - A finitely presentable group G is hyperbolic if and only if the map H b2(G, V) → H2(G, V) is surjective for any bounded G-module. The 'only if' direction is known and here we prove the 'if' direction. We also consider several ways to define a linear homological isoperimetric inequality.
AB - A finitely presentable group G is hyperbolic if and only if the map H b2(G, V) → H2(G, V) is surjective for any bounded G-module. The 'only if' direction is known and here we prove the 'if' direction. We also consider several ways to define a linear homological isoperimetric inequality.
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U2 - 10.1093/qjmath/53.1.59
DO - 10.1093/qjmath/53.1.59
M3 - Article
AN - SCOPUS:0036117072
SN - 0033-5606
VL - 53
SP - 59
EP - 73
JO - Quarterly Journal of Mathematics
JF - Quarterly Journal of Mathematics
IS - 1
ER -