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UID:node-3065516@mathematics.huji.ac.il
DTSTAMP:20211202T123000Z
DTSTART:20211202T123000Z
DTEND:20211202T133000Z
SUMMARY:Colloquium: Agatha Atkarskaya (HUJI)
DESCRIPTION:*Live broadcast link: \n*https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=2ec36750-2782-4af4-9aa7-add500c12183 \n[1]\n*Title:* Small cancellation methods for groups and rings\n*Abstract:* When we have a group $G$ given by generators and defining \nrelations $G = \langle x_1, \ldot, x_s \mid R_1, \ldots, R_t \rangle$, in \ngeneral we can not say much about a structure of $G$. However, if there are \nspecial restrictions on the relators $R_i$, it allows us to study a structure \nof the group. One type of such restrictions is the condition that the words \n$R_i$ have relatively small common subwords. Then $G$ is called a small \ncancellation group. This allows us to say a lot about the structure of $G$. \nMoreover, the idea of having small interaction between relators can be \ngeneralized. The obtained groups have a clear structure and produce examples \nwith very interesting properties and unusual behaviour.\nIn our work we use small cancellation methods in two directions. First, we \nconstruct a group-like small...
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