On conjugacy separability of graph products of groups

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• 作者：Michal Ferov ^{michalferov@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：20E06 ; 20E26 ; 20E45 ; 20F36 ; 20F55 ; 20F65
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：1 February 2016
• 年：2016
• 卷：447
• 期：Complete
• 页码：135-182
• 全文大小：785 K

文摘

We show that the class of 3226e12729b2f733d863b1" title="Click to view the MathML source">C$\mathcal{C}$-hereditarily conjugacy separable groups is closed under taking arbitrary graph products whenever the class 3226e12729b2f733d863b1" title="Click to view the MathML source">C$\mathcal{C}$ is an extension closed variety of finite groups. As a consequence we show that the class of 3226e12729b2f733d863b1" title="Click to view the MathML source">C$\mathcal{C}$-conjugacy separable groups is closed under taking arbitrary graph products. In particular, we show that right angled Coxeter groups are hereditarily conjugacy separable and 2-hereditarily conjugacy separable, and we show that infinitely generated right angled Artin groups are hereditarily conjugacy separable and p-hereditarily conjugacy separable for every prime number p.