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CATEGORIES:Junior Algebra and Number Theory seminar
SUMMARY:Generation problems in Wilson type groups - Matteo
Vannacci\, Royal Holloway
DTSTART;TZID=Europe/London:20140307T150000
DTEND;TZID=Europe/London:20140307T160000
UID:TALK51384AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/51384
DESCRIPTION:Just infinite groups are a generalisation of finit
e simple groups in the case of profinite groups an
d natural examples of just infinite groups have be
en widely studied in the past. â€‹Wilson type groups
were first introduced as an example of hereditari
ly just infinite groups which are not virtually pr
o-p. In the first part of the talk I will give som
e motivation of the importance of this family and
I will show the construction of Wilson type groups
via iterated exponentiation of finite non-abelian
simple groups. In the second part I will address
two generation problems: find explicit generators
and determine the lower rank of Wilson type groups
.
LOCATION:CMS\, MR5
CONTACT:Julian Brough
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