Groups of p-absolute Galois type that are not absolute Galois groups
Groups of p-absolute Galois type that are not absolute Galois groups
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不是绝对伽罗瓦群的 p-绝对伽罗瓦型群
DOI：
10.1016/j.jpaa.2022.107262
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发表时间：
2021
影响因子：
0.8
通讯作者：
C. Quadrelli
中科院分区：
文献类型：
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作者：
Simone Blumer;Alberto Cassella;C. Quadrelli
Let成为一个素数。本文研究Lam-Liu-Sharifi-Wake-Wang定义的p-绝对Galois型亲群。本文证明了与弦单纯图相关联的直角Artin群的拟完备化是p-绝对Galois型的，并且它满足强的Massey消失性质.证明了Demushkin群是p-绝对Galois型的，满足Massey消失性质的两个p-绝对Galois型亲群的自由亲积和直积在一定条件下也是满足Massey消失性质的p-绝对Galois型亲群.因此，有大量的p-绝对伽罗瓦型的亲p群满足Massey消失性质，但不作为绝对伽罗瓦群出现。
Letpbe a prime. We study pro-pgroups ofp-absolute Galois type, as defined by Lam–Liu–Sharifi–Wake–Wang. We prove that the pro-pcompletion of the right-angled Artin group associated to a chordal simplicial graph is ofp-absolute Galois type, and moreover it satisfies a strong version of the Massey vanishing property. Also, we prove that Demushkin groups are ofp-absolute Galois type, and that the free pro-pproduct — and, under certain conditions, the direct product — of two pro-pgroups ofp-absolute Galois type satisfying the Massey vanishing property, is again a pro-pgroup ofp-absolute Galois type satisfying the Massey vanishing property. Consequently, there is a plethora of pro-pgroups ofp-absolute Galois type satisfying the Massey vanishing property that do not occur as absolute Galois groups.
广义 Bockstein 地图和 Massey 产品
DOI：
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发表时间：
2023
期刊：
Sigma
影响因子：
--
作者：
Lam, Yeuk Hay;Liu, Yuan;Sharifi, Romyar;Wake, Preston;Wang, Jiuya
通讯作者：
Wang, Jiuya