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SEMINAR: Groups and Combinatorics Seminar: Alex Bors, 4pm May 24 in Weatherburn LT

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Today's date is Monday, March 08, 2021
Groups and Combinatorics Seminar: Alex Bors, 4pm May 24 in Weatherburn LT Other events...
Speaker: Alex Bors (University of Western Australia)

Title: Words, permutations, and the nonsolvable length of a finite group

Time and place: 4pm Friday 24 May 2019, Weatherburn LT

Abstract: In group theory, the term “word” denotes any concatenation of variables and their formal inverses, such as xxyx^{-1}zy^{-1}. Words are to group theorists what polynomials are to ring theorists: formal expressions into which elements from a concrete structure (a ring resp. group) can be substituted and which can be used to formulate equations over those structures. One type of question commonly studied in this context is the following: Given a word w(X_1,...,X_d) and a number rho in (0, 1], what can one say about finite groups G in which for some g in G, the equation w(X_1,...,X_d) = g has at least rho|G|^d solutions (g_1,...,g_d) in G^d? In this talk, I will discuss recent results of this form which were achieved in collaboration with Aner Shalev from the Hebrew University of Jerusalem.
Contact Stephen Glasby <[email protected]>
Start Fri, 24 May 2019 16:30
End Fri, 24 May 2019 17:30
Submitted by Stephen Glasby <[email protected]>
Last Updated Mon, 20 May 2019 13:44
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