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BEGIN:VEVENT
UID:607e199050c3c
DTSTART:20210224T161500Z
SEQUENCE:0
TRANSP:OPAQUE
DTEND:20210224T171500Z
URL:https://www.imperial.ac.uk/events/129232/logic-seminar-tim-clausen-univ
ersity-of-muenster-2/
LOCATION:United Kingdom
SUMMARY:Quasihyperbolic spaces and Frobenius groups of finite Morley rank:
Tim Clausen (University of Muenster)
CLASS:PUBLIC
DESCRIPTION:Title\nQuasihyperbolic spaces and Frobenius groups of finite Mo
rley rank (joint work with Katrin Tent)\nAbstract\nA Frobenius group is a
group G together with a proper nontrivial malnormal subgroup H. A classica
l result due to Frobenius states that finite Frobenius groups split\, i.e.
they can be written as a semidirect product of a normal subgroup and the
subgroup H. It is an open question if this holds true for groups of finite
Morley rank\, and the existence of a non-split Frobenius group of finite
Morley rank would contradict the Algebraicity Conjecture. Only partial res
ults are known. By a recent result due to Frecon\, so called bad groups ca
nnot exist in Morley rank 3. Frecon’s proof utilizes a point-line geomet
ry defined on the group. A geometry with similar properties but defined on
the set of involutions can be used to study sharply 2-transitive groups o
f Morley rank 6. By axiomatizing these geometries\, we are able to extend
the above results to other classes of Frobenius groups of finite Morley ra
nk and to provide new criteria for splitting.\nAccess to the event\nFor th
e Zoom link please contact the seminar organiser.
X-ALT-DESC;FMTTYPE=text/html:### Title

\nQuasihyperbolic spaces and
Frobenius groups of finite Morley rank (joint work with Katrin Tent)

\n
### Abstract

\nA Frobenius
group is a group G together with a proper nontrivial malnormal subgroup H.
A classical result due to Frobenius states that finite Frobenius groups s
plit\, i.e. they can be written as a semidirect product of a normal subgro
up and the subgroup H. It is an open question if this holds true for group
s of finite Morley rank\, and the existence of a non-split Frobenius group
of finite Morley rank would contradict the Algebraicity Conjecture. Only
partial results are known. By a recent result due to Frecon\, so called ba
d groups cannot exist in Morley rank 3. Frecon’s proof utilizes a point-
line geometry defined on the group. A geometry with similar properties but
defined on the set of involutions can be used to study sharply 2-transiti
ve groups of Morley rank 6. By axiomatizing these geometries\, we are able
to extend the above results to other classes of Frobenius groups of finit
e Morley rank and to provide new criteria for splitting.

\n### Access t
o the event

\nFor the Zoom link please contact the seminar organise
r.

DTSTAMP:20210420T000016Z
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