### Word maps on finite simple groups

Algebra Seminar

17th February 2021, 2:30 pm – 3:30 pm

Online, Zoom

Given a nontrivial word w=w(x_{1}, ..., x_{n}) in the alphabet x_{1}, ..., x_{n}, consider the word map w: G^{n} → G sending (g_{1}, ..., g_{n}) ∈ G^{n} to w(g_{1}, ..., g_{n}) and its image w(G)=w(G^{n}), on any finite simple group G. How large is w(G)? In this talk we will discuss results, some well-known and some very recent, on this problem.

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