The lower \(p\)-central series of a free profinite group and the shuffle algebra
DOI10.1016/j.jpaa.2019.106260zbMath1506.20086arXiv1808.05354OpenAlexW2981669909WikidataQ126983527 ScholiaQ126983527MaRDI QIDQ2301993
Publication date: 25 February 2020
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.05354
Galois cohomologyMassey productsshuffle algebraabsolute Galois groupslower \(p\)-central sequenceunipotent upper-triangular representations
Combinatorics on words (68R15) Separable extensions, Galois theory (12F10) Galois cohomology (12G05) Cohomology of groups (20J06) Limits, profinite groups (20E18) Field arithmetic (12E30)
Related Items
Cites Work
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- Reconstructing function fields from rational quotients of mod-\(\ell \) Galois groups
- \(\mathbb Z_3 \times\mathbb Z_3\) crossed products.
- Triple Massey products and Galois theory
- Quotients of absolute Galois groups which determine the entire Galois cohomology
- Congruences derived from group action
- Homology, Massey products and maps between groups
- A natural ring basis for the shuffle algebra and an application to group schemes
- The cohomology of canonical quotients of free groups and Lyndon words
- Triple Massey products and absolute Galois groups
- Brauer type embedding problems
- Splitting varieties for triple Massey products
- The Zassenhaus filtration, Massey products, and representations of profinite groups
- Galois groups and cohomological functors
- Triple Massey products vanish over all fields
- On the descending central sequence of absolute Galois groups
- Vanishing of Massey Products and Brauer Groups
- Field Arithmetic
- Classification of Demushkin Groups
- Zum Einbettungsproblem.
- Binomial Coefficients Modulo a Prime
- Algebraic Operads
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