Classification of pro-p-groups

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Накратко на български

Цел на проекта

Research objectives and content A big part of mathematics today is about classifying mathematical objects. In my Cand. Scient. thesis (Oslo 1996), I treated the classification of p-groups and Demuskin-groups using cohomological methods by deformations of the representations. This theory is based on the work of my supervisor, Prof.O.A.Laudal. He showed that any finitely generated pro-p-group G is characterized by its first and second cohomdogy group follows from this, and as far as I can see, so do the groups of order p5 and p6. Therefore I ask myself the following: Can we, by studying abstract Massey-product-structures, get a general classification of pro-p-groups by analogy with the moduli-theory for modules, singularities or Lie-algebras? This can hopefully be reduced to finding the moduli-space for the formal Massey-product-structure on two Fp-vector space H1 nd H2. Training content (objective, benefit and expected impact) Dr. Dan Segal, U. Oxford, is a leading authority on the theory of pro-p-groups, and he has agred to supervise my research. I therefore expect to learn a lot working at the Mathematical Institute in Oxford; how researchers work and, of course, learn more mathematics. Links with industry / industrial relevance (22)

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