论文标题

小时生长群

Groups of small period growth

论文作者

Petschick, Jan Moritz

论文摘要

我们构建了有限生成的小时生长的组,即单词长度$ n $的最大顺序在$ n $中的最大顺序。这回答了布拉德福德与群体的无法无天增长有关的问题,并与限制性伯恩赛德问题的近似版本有关。

We construct finitely generated groups of small period growth, i.e. groups where the maximum order of an element of word length $n$ grows very slowly in $n$. This answers a question of Bradford related to the lawlessness growth of groups and is connected to an approximative version of the restricted Burnside problem.

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