Isomorphism via derivations

Joshua Maglione

Universität Bielefeld

jmaglione@math.uni-bielefeld.de

(This talk is being recorded.)

Isomorphism via derivations Joshua Maglione Universität Bielefeld www.slides.com/joshmaglione/ gig2020 jmaglione@math.uni-bielefeld.de (This talk is being recorded.) Creative Commons Attribution 4.0 International License

Isomorphism via derivations

By Josh Maglione

Isomorphism via derivations

By bringing in tools from multilinear algebra, we introduce a general method to aid in the computation of group isomorphism. Of particular interest are nilpotent groups where the only classically known proper nontrivial characteristic subgroup is the derived subgroup. Through structural analysis of the biadditive commutator map, we leverage the representation theory of Lie algebras to prove efficiency for families of nilpotent groups. We report on joint work with Peter A. Brooksbank, and James B. Wilson.

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