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{\Large Department of Mathematics, BGU}

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{\Huge BGU Probability and Ergodic Theory  (PET) seminar}\\[0.2\baselineskip]

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\textbf{On} \emph{Thursday, March 27, 2025}
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\textbf{At} \emph{11:10 -- 12:00}
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\textbf{In} \emph{-101}

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{\large\scshape Matan Seidel 
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  (TAU)
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will talk about
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{\Large\bfseries Primitivity Testing in Free Group Algebras via Duality\par}
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\textsc{Abstract:}
Let F be a free group and K a field. The free group algebra K{[}F{]} bears a strong resemblance to F, making it an excellent tool in the study of free groups. For example, by a theorem due to Cohn and Lewin, one-sided ideals in K{[}F{]} are free as K{[}F{]}-modules, analogously to the Nielsen-Schreier theorem. I will discuss this resemblance, along with other motivations for our interest in K{[}F{]} arising from the theory of word measures. I will then present a new algorithm for deciding if a given element is part of some basis of a given ideal, similarly to what Whitehead's algorithm performs in free groups. Based on joint work with Danielle Ernst-West and Doron Puder.








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