Castro Pereira and Tomita showed that it is consistent that there exist arbitrarily large countably compact groups without non-trivial convergent sequences of finite order. In this paper, we obtain large p-compact groups without non-trivial convergent on the direct sum of κ copies of $\mathbb{Q}$ where $\kappa ={\kappa }^{\omega }$ is infinite. In particular this gives the first arbitrarily large countably compact groups without non-trivial convergent sequences that are torsion-free.

中文翻译：

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在无紧收敛序列的无穷紧群拓扑上 ${\mathbb{问}}^{（\kappa ）}$用于任意大的κ和选择性超滤器

卡斯特罗·佩雷拉（Castro Pereira）和富田（Tomita）表明，一致存在的是任意数量庞大的可压缩群，而没有有限级的非平凡收敛序列。在本文中，我们获得了p个紧致基团，它们的κ副本的直接总和没有非平凡收敛性。$\mathbb{问}$ 在哪里 $\kappa ={\kappa }^{\omega }$是无限的。特别地，这给出了第一任意大的可数紧致组，而没有无扭转的非平凡收敛序列。