论文标题

在某些$ p $级塔的二次田间塔组

On certain quotients of $p$-class tower groups of quadratic fields

论文作者

Bush, Michael R.

论文摘要

$ p $ - 类塔塔组的商的表征是二次二次字段中的二次二次字段,在$ p $ p $ central系列中,在波士顿,哈吉尔(Hajir)和作者的猜想中起着重要作用,涉及基本场之类的群体的分布。在本文中,给出了另一个等效标准,该标准解决了与这些猜想有关的组理论计算的一部分出现的问题。

A characterization of the quotients of $p$-class tower groups of quadratic fields by terms in the lower $p$-central series plays an important role in the formulation of conjectures by Boston, Hajir and the author about the distribution of such groups as the base field varies. In this paper, another equivalent criterion is given which resolves an issue that arose as part of the group-theoretical calculations carried out in relation to these conjectures.

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