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University of Auckland

Time: 16:00-17:00 (GMT+8), Tuesday October 10th, 2023

Location: Zoom

**Abstract:**
Two groups \(L_1\) and \(L_2\) are called *compatible* if there is a group \(G\) with two isomorphic normal subgroups \(N_1\) and \(N_2\) such that \(G/N_1\cong L_1\) and \(G/N_2\cong L_2\).
In this talk, we will introduce two concepts, namely *inverse limits* (which is from category theory) and *generalized wreath products*, and see how these concepts apply on the compatibility.

Host: 谢贻林 Yilin Xie