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


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