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BEGIN:VEVENT
DTSTAMP:20191031T121629Z
DTSTART:20191101T150000Z
DTEND:20191101T160000Z
SUMMARY:Ulla Karhumaki - Simple infinite sections of locally finite group
s of finite centraliser dimension
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}u3b-k2eoatz
z-p0l5bv
DESCRIPTION:This week's pure postgrad seminar will be given by Ulla Karhu
maki at 3pm in Frank Adams 1.\n\nAbstract:\n\nA group G is said to have
a finite centraliser dimension (fcd) if there is a finite bound on the l
ength of any chain of centralisers in G. Many important groups (in model
theory\, algebraic group theory\,...) have this property. One immediate
difficulty encountered in any study of groups of fcd is that the descen
ding chain condition for centralisers is not inherited by factor groups
or sections. In the case of locally finite groups\, we will present a su
fficiently strong property\, which holds in a locally finite group of fc
d and is inherited by its sections. Further\, we will classify simple in
finite sections of locally finite groups of fcd. Very(!) little knowledg
e of group theory is assumed\; this will be kept light.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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