Résumé : Semi-direct products can be seen as solutions of universal problems
(see Andreas Thom's answer in MO96078 [1]) by means of
``structures acting on structures''.
On the other hand Lazard's elimination theorems (Lie groups, Lie algebras
and monoids) can be thought as byproducts of ``alphabets acting on codes''.
In this talk, we will illustrate (and prove some lemmas) about the tight link
between these two concepts.
[1] MO96078: Are semidirect products categorical-colimits ?
https://mathoverflow.net/questions/96078
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