Classifying finite 2-nilpotent p-groups, Lie algebras and graphs: equivalent wild problems

Details Classifying finite 2-nilpotent p-groups, Lie algebras and graphs: equivalent wild problems Classifying finite 2-nilpotent p-groups, Lie algebras and graphs: equivalent wild problems

2008-12-22

arxiv.org/abs/0812.4158v2

Mathematics

Group Theory

10 pages, no figures, main file Wild_problems16.tex Revision summary: fixed definition of I_{0}

Scientific paper

We reduce the graph isomorphism problem to 2-nilpotent p-groups isomorphism
problem and to finite 2-nilpotent Lie algebras over the ring Z/p^3 Z.
Furthermore, we show that classifying problems in categories graphs, finite
2-nilpotent p-groups, and 2-nilpotent Lie algebras over are polynomially
equivalent and wild.

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