The Grigorchuk Group
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Wed, 12/05/2010 11:30 |
Elisabeth Fink (University of Oxford) |
Algebra Kinderseminar  |
ChCh, Tom Gate, Room 2 |
| I'll start with the definition of the first Grigorchuk group as an automorphism group on a binary tree. After that I give a short overview about what growth means, and what kinds of growth we know. On this occasion I will mention a few groups that have each kind of growth and also outline what the 'Gap Problem' was. Having explained this I will prove - or depending on the time sketch - why this Grigorchuk group has intermediate growth. Depending on the time I will maybe also mention one or two open problems concerning growth. | |||