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SUMMARY:A categorical approach to loops\, neardomains and nearfields - Rud
 ger Kieboom\, Vrije Universiteit Brussel\, Belgium
DTSTART:20130312T141500Z
DTEND:20130312T151500Z
UID:TALK42455@talks.cam.ac.uk
CONTACT:Julia Goedecke
DESCRIPTION:In this talk I will look at loops\, neardomains and nearfields
  from a categorical point of view. By choosing the right kind of morphisms
 \, we can show that the category of neardomains is equivalent to the categ
 ory of sharply 2-transitive groups. The other categories are also shown to
  be equivalent to categories whose objects are sets of permutations with s
 uitable extra properties.\nUp to now the equivalence between neardomains a
 nd sharply 2-transitive groups was only known when both categories were eq
 uipped with the obvious isomorphisms as morphisms.
LOCATION:MR5\, Centre for Mathematical Sciences
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