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Adding Limit Points To Bass-Serre Graphs Of Groups, Alexander Jin Shumway
Adding Limit Points To Bass-Serre Graphs Of Groups, Alexander Jin Shumway
Theses and Dissertations
We give a brief overview of Bass-Serre theory and introduce a method of adding a limit point to graphs of groups. We explore a basic example of this method, and find that while the fundamental theorem of Bass-Serre theory no longer applies in this case we still recover a group action on a covering space of sorts with a subgroup isomorphic to the fundamental group of our new base space with added limit point. We also quantify how much larger the fundamental group of a graph of groups becomes after this construction, and discuss the effects of adding and identifying …