摘要翻译：
设$C(T)$是一个广义Coxeter群，它在一个经典Coxeter群上有自然映射，$B_n$或$D_n$。设$C_y(T)$是$C(T)$的自然商，如果$C(T)$是简单带边的（这意味着生成元之间的所有关系都有2或3阶），则$C_y(T)$也是广义Coxeter群。设$A_{t,n}$是一个包含$t$Abelian群的群，该群由$n$元素生成。本文的主要结果是:$C_y(T)$与$A_{T,n}\半直B_n$或$A_{T,n}\半直D_n$同构，这取决于符号图$T$是否包含环，或者换句话说，C(T)是否是单带环的，$T$是$T$中的圈数。这一结果将Rowen、Teicher和Vishne的结果推广到具有自然映射到经典Coxeter群上的广义Coxeter群。
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英文标题：
《Coxeter covers of the classical Coxeter groups》
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作者：
M. Amram, R. Shwartz, M. Teicher
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最新提交年份：
2008
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分类信息：

一级分类：Mathematics        数学
二级分类：Group Theory        群论
分类描述：Finite groups, topological groups, representation theory, cohomology, classification and structure
有限群、拓扑群、表示论、上同调、分类与结构
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一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  Let $C(T)$ be a generalized Coxeter group, which has a natural map onto one of the classical Coxeter groups, either $B_n$ or $D_n$. Let $C_Y(T)$ be a natural quotient of $C(T)$, and if $C(T)$ is simply-laced (which means all the relations between the generators has order 2 or 3), $C_Y(T)$ is a generalized Coxeter group, too . Let $A_{t,n}$ be a group which contains $t$ Abelian groups generated by $n$ elements. The main result in this paper is that $C_Y(T)$ is isomorphic to $A_{t,n} \semidirect B_n$ or $A_{t,n} \semidirect D_n$, depends on whether the signed graph $T$ contains loops or not, or in other words C(T) is simply-laced or not, and $t$ is the number of the cycles in $T$. This result extends the results of Rowen, Teicher and Vishne to generalized Coxeter groups which have a natural map onto one of the classical Coxeter groups.
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PDF链接：
https://arxiv.org/pdf/0803.3010