Groups of p-absolute Galois type that are not absolute Galois groups

Blumer, S. ; Cassella, A. ; Quadrelli, C.

Resumen: Let p be a prime. We study pro-p groups of p-absolute Galois type, as defined by Lam–Liu–Sharifi–Wake–Wang. We prove that the pro-p completion of the right-angled Artin group associated to a chordal simplicial graph is of p-absolute Galois type, and moreover it satisfies a strong version of the Massey vanishing property. Also, we prove that Demushkin groups are of p-absolute Galois type, and that the free pro-p product — and, under certain conditions, the direct product — of two pro-p groups of p-absolute Galois type satisfying the Massey vanishing property, is again a pro-p group of p-absolute Galois type satisfying the Massey vanishing property. Consequently, there is a plethora of pro-p groups of p-absolute Galois type satisfying the Massey vanishing property that do not occur as absolute Galois groups.

Idioma: Inglés

DOI: 10.1016/j.jpaa.2022.107262

Año: 2023

Publicado en: JOURNAL OF PURE AND APPLIED ALGEBRA 227, 4 (2023), 107262 [35 pp.]
ISSN: 0022-4049

Factor impacto JCR: 0.7 (2023)

Categ. JCR: MATHEMATICS rank: 218 / 490 = 0.445 (2023) - Q2 - T2
Categ. JCR: MATHEMATICS, APPLIED rank: 237 / 332 = 0.714 (2023) - Q3 - T3

Factor impacto CITESCORE: 1.7 - Algebra and Number Theory (Q2)

Factor impacto SCIMAGO: 0.897 - Algebra and Number Theory (Q1)

Tipo y forma: Artículo (PostPrint)