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Algebra Seminar, "Degree of commutativity on general lamplighter groups" by Andoni Zozaya (University of Ljubljana)

Tid: 2023-11-29 15:15 till 16:15 Seminarium

Title: Degree of commutativity on general lamplighter groups



Based on joint work with de las Heras and Klopsch, I will discuss results and open questions regarding the degree of commutativity in finitely generated (infinite) groups of lamplighter type, namely wreath products where the top group is infinite cyclic. 


Firstly, I will focus on the foundational work of Antolín, Martino and Ventura. I aim to explain the main conjecture of whether any group of exponential group growth has degree of commutativity equal to zero, and provide results in its favor. Finally, I will show the new evidence we produced: the conjecture holds in the setting of general lamplighter groups.

Om händelsen
Tid: 2023-11-29 15:15 till 16:15


anitha [dot] thillaisundaram [at] math [dot] lu [dot] se

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Sidansvarig: webbansvarig@math.lu.se | 2017-05-23