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CATEGORIES:Junior Algebra/Logic/Number Theory seminar
SUMMARY:Bases of primitive diagonal groups - Joanna Fawcet
t (University of Cambridge)
DTSTART;TZID=Europe/London:20111202T140000
DTEND;TZID=Europe/London:20111202T150000
UID:TALK34118AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/34118
DESCRIPTION:A base B of a finite permutation group G acting on
a set Ω is a subset of Ω with the property that o
nly the identity can fix every point of B. Classic
ally\, bases have played an important role in the
150-year-old problem of bounding the order of a pr
imitive permutation group in terms of its degree.
Moreover\, bases provide a more efficient way of s
toring actions of groups\, and so they are used in
various algorithms in computational group theory.
In recent years\, much work has been done on boun
ding the minimal size of a base of a primitive per
mutation group. After surveying some of the main r
esults on this topic\, we will look more closely a
t the base size of one of the five types of primit
ive permutation groups (as classified by the O’Nan
–Scott Theorem)\, namely\, the groups of diagonal
type.
LOCATION:MR4
CONTACT:Joanna Fawcett
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