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Author Archives: John Eichelberger
Residual Finitude and Hyperbolicity!
It’s been a very long but very fun term. Cheers!
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Eighth Monday: Geometric Actions and a Schwarz Lemma
On this fine Halloween, we discussed what it means to act geometrically, vindicating our work on hyperbolicity with a discussion of the Schwarz Lemma. First, recall the definition from last week: Definition. A group G is hyperbolic if it acts geometrically … Continue reading
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Third Friday: Free Subgroups and Sunshine
Today’s lecture was held outside, in the lovely warmth and sunlight. We considered two ways to approach the following statement. Claim. If , then is free. A Geometric Group Theory Proof Instead of proving this claim directly, we started with … Continue reading
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First Wednesday: Groups, Graphs, and Symmetries
Wednesday’s class was a review of groups, a “whirlwindreview” of the basics of graphs and trees, and a look at actions on symmetry groups of geometric object. Groups, Reviewed To begin with, we reviewed group presentations, of form . For … Continue reading
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