Combinatorics Seminar: Combinatorics of the Cogrowth Sequence
Wednesday, February 22, 2023 2pm to 3pm
Wednesday, February 22, 2023 2pm to 3pm
About this Event
3620 South Vermont Avenue, Los Angeles, CA 90089
David Soukup, UCLA
Abstract: For a fixed group G and a generating set S, and let c(n) be the number of words of length n in S which evaluate to the identity in G. A wide variety of results relate the properties of this sequence to those of the underlying group. In this talk, we will present our results that these sequences can be ill-behaved even for nilpotent groups (https://arxiv.org/abs/2210.09419). This is joint work with Igor Pak.
This program is open to all eligible individuals. USC operates all of its programs and activities consistent with the university’s Notice of Non-Discrimination. Eligibility is not determined based on race, sex, ethnicity, sexual orientation or any other prohibited factor.
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