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arXiv · 1501.01346

Construction of unipotent Galois extensions and Massey products

Jan Minac·Nguyen Duy Tan
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Abstract

For all primes $p$ and all fields, we find a sufficient and necessary condition of the existence of a unipotent Galois extension of degree $p^6$. The main goal of this paper is to describe an explicit construction of such a Galois extension over fields admitting such a Galois extension. This construction is surprising in its simplicity and generality. The problem of finding such a construction has been left open since 2003. Recently a possible solution of this problem gained urgency because of an effort to extend new advances in Galois theory and its relations with Massey products in Galois cohomology.

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Jan Minac, Nguyen Duy Tan. 2015-01-07. Construction of unipotent Galois extensions and Massey products. https://arxiv.org/abs/1501.01346

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