Charlotte Scott Centre for Algebra
School of Engineering and Physical Sciences, University of Lincoln
Algebra Research Seminar: Talk by Prof Pavel Zalesski (University of Brasília)
Prof Pavel Zalesski (University of Brasília) visited the Charlotte Scott Research Centre for Algebra on the 16 February 2026 and spoke in our Algebra Seminar.
Title of the talk: Prosoluble subgroups of free profinite products, relative projectivity and invariable generation.
Abstract:I shall discuss prosoluble subgroups of free profinite products towards a complete characterization of them in terms of the intersections with the free factors.
Charlotte Scott Centre for Algebra 
The idea of characterizing prosoluble subgroups through their intersections with free factors sounds like a powerful structural lens, especially for understanding how these subgroups embed in more complex profinite constructions. It makes me wonder how this approach might translate to analyzing analogous subgroups in free amalgamated products.
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