Pham Tiep

Rutgers University


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(x1, ..., xn) in the alphabet x1, ..., xn, consider the word map w: Gn → G sending (g1, ..., gn) ∈ Gn to w(g1,  ..., gn) and its image w(G)=w(Gn), 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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