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The Word Norm

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If you have a question about this talk, please contact Zach McKenzie .

The word norm for any element of a group, given a symmetric generating set, is the length of the shortest representation of that element as a word in the generators. It may also be thought of as the graph norm on the Cayley graph. A quasimorphism from a group G to a normed group (usually the Reals) is a map f such d(f(x)f(y),f(xy)) is absolutely bounded. I will discuss some folklore connecting these combinatorial and geometric ideas.

This talk is part of the Set Theory Seminar series.

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