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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20240603T172634Z
DTSTART:20240604T130000Z
DTEND:20240604T140000Z
SUMMARY:Algebra seminar - Vlad Vankov
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}t67-lvkpa7v
n-d4fpew
DESCRIPTION:Title: Almost finitely presented hyperbolic subgroups over ar
bitrary rings\nAbstract: In 1996\, Gersten proved that if a group G is h
yperbolic and of integral cohomological dimension 2\, then any almost fi
nitely presented subgroup H is hyperbolic as well. In 1997\, Bestvina an
d Brady gave the first examples of groups which were almost finitely pre
sented\, but not finitely presented - they were finitely presented but w
ith finitely generated integral relation modules. Hyperbolic groups of i
ntegral cohomological dimension higher than 2\, but equal to 2 over othe
r rings\, were already known by Bestvina and Mess in 1991. In joint work
with Robert Kropholler and Shaked Bader\, we show that if G is a hyperb
olic group of cohomological dimension 2 over some unital ring R\, then a
ny subgroup H with finitely generated relation module over R must also b
e hyperbolic.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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