Abstract: During the 1960s, Jennings, Golod, Shafarevich and Lazard introduced two sequences of integers a and c, closely related to a special filtration of a finitely generated pro-p group G, called Zassenhaus filtration. These sequences give the cardinality of G, and characterize its topology. Let us cite the famous Gocha's alternative: this is a condition on a and c equivalent for G to be analytic, i.e., a Lie group over p-adic fields. Recently in 2016, Minac, Rogelstad and Tan inferred an explicit relation between a and c.This talk will review these results, enrich them in an isotypical context, and give examples.

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https://westernuniversity.zoom.us/j/96866090477