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Cubical dimension of groups

Random and Arithmetic Structures in Topology: Introductory Workshop August 25, 2020 - September 11, 2020

September 10, 2020 (10:30 AM PDT - 11:30 AM PDT)
Speaker(s): Kasia Jankiewicz (University of California, Santa Cruz)
Location: MSRI: Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

Cubical Dimension Of Groups


The cubical dimension of a group G is the infimum n such that G admits a proper action on an n-dimensional CAT(0) cube complex. 

I will discuss some examples of groups with a gap between its cubical dimension and its cohomological or CAT(0) dimension. 

This will include a construction of small cancellation groups with arbitrarily large cubical dimension.

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Cubical Dimension Of Groups

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