论文标题
两个不是绝对galois群体的亲P组的家族
Two families of pro-p groups that are not absolute Galois groups
论文作者
论文摘要
令$ p $为素数。我们生产了两个新家庭，包括$ P $组，这些家族是绝对的galois群体。为了证明这一点，我们使用了绝对Galois Pro-P $组的1平滑度属性。此外，我们在这些家庭中表明，一个人具有单股份的p $组组，这些群体可能不排除为绝对的加洛伊斯群体，该团体采用了Galois的共同学（Rost-Voevodsky Theorem）或Galois Coohomology中Massey Products的消失。
Let $p$ be a prime. We produce two new families of pro-$p$ groups which are not realizable as absolute Galois groups of fields. To prove this we use the 1-smoothness property of absolute Galois pro-$p$ groups. Moreover, we show in these families one has one-relator pro-$p$ groups which may not be ruled out as absolute Galois groups employing the quadraticity of Galois cohomology (a consequence of Rost-Voevodsky Theorem), or the vanishing of Massey products in Galois cohomology.
