Triple Massey products and absolute Galois groups
Journal of the European Mathematical Society, Tome 19 (2017) no. 12, pp. 3629-3640
Voir la notice de l'article provenant de la source EMS Press
Let p be a prime number, F a field containing a root of unity of order p, and GF the absolute Galois group. Extending results of Hopkins, Wickelgren, Mináč and Tân, we prove that the triple Massey product H1(GF)3→H2(GF) contains 0 whenever it is non-empty. This gives a new restriction on the possible profinite group structure of GF.
Classification :
12-XX, 16-XX
Keywords: Triple Massey products, absolute Galois groups, Galois cohomology
Keywords: Triple Massey products, absolute Galois groups, Galois cohomology
@article{JEMS_2017_19_12_a1,
author = {Ido Efrat and Eliyahu Matzri},
title = {Triple {Massey} products and absolute {Galois} groups},
journal = {Journal of the European Mathematical Society},
pages = {3629--3640},
publisher = {mathdoc},
volume = {19},
number = {12},
year = {2017},
doi = {10.4171/jems/748},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/748/}
}
TY - JOUR AU - Ido Efrat AU - Eliyahu Matzri TI - Triple Massey products and absolute Galois groups JO - Journal of the European Mathematical Society PY - 2017 SP - 3629 EP - 3640 VL - 19 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/748/ DO - 10.4171/jems/748 ID - JEMS_2017_19_12_a1 ER -
Ido Efrat; Eliyahu Matzri. Triple Massey products and absolute Galois groups. Journal of the European Mathematical Society, Tome 19 (2017) no. 12, pp. 3629-3640. doi: 10.4171/jems/748
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