Triple Massey products over global fields

Ján Mináč; Nguyễn Duy Tân

doi:10.4171/dm/523

JournalsdmVol. 20pp. 1467–1480

Triple Massey products over global fields

Ján Mináč
Department of Mathematics, Western University, N6A 5B7 London, Ontario, Canada
Nguyễn Duy Tân
Department of Mathematics, Western University, N6A 5B7 London, Ontario, Canada; Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, 10307 Hanoi, Vietnam

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Abstract

Let $K$ be a global field which contains a primitive $p$ -th root of unity, where $p$ is a prime number. M. J. Hopkins and K. G. Wickelgren showed that for $p = 2$ , any triple Massey product over $K$ with respect to $F_{p}$ , contains 0 whenever it is defined. We show that this is true for all primes $p$ .

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Ján Mináč, Nguyễn Duy Tân , Triple Massey products over global fields. Doc. Math. 20 (2015), pp. 1467–1480

DOI 10.4171/DM/523