论文标题
Artin组的抛物线亚组中的抛物线亚组
Parabolic subgroups inside parabolic subgroups of Artin groups
论文作者
论文摘要
我们证明，Artin Group $ a $的另一个抛物线亚组$ P'中包含的抛物线子组$ P $是$ p'$的抛物线子组。这回答了戈德勒的问题，尽管出现了，但并不明显。为了实现我们的结果，我们从抛物线亚组$ p $ pum构建了一个零售$ a \ to $ a $。查尼（Charney）和第二作者在先前的论文中暗中构建了这种撤回。
We prove that a parabolic subgroup $P$ contained in another parabolic subgroup $P'$ of an Artin group $A$ is a parabolic subgroup of $P'$. This answers a question of Godelle which is not obvious despite appearances. In order to achieve our result we construct a set-retraction $A \to P$ of the inclusion map from a parabolic subgroup $P$ into $A$. This retraction was implicitly constructed in a previous paper by Charney and the second author.
