非可定向曲面加一关系群
Non-orientable surface-plus-one-relation groups
摘要：
最近Dicks-Linnell确定了可定向曲面加一关系群的$L^2$贝蒂数，他们的论证涉及了Hempel和Howie拓扑学上的一些结果.使用代数参数，我们现在将Hempel和Howie的所有这些结果扩展到更大的一类两个关系群，然后我们应用扩展的结果来确定非可定向曲面加一个关系群的$L^2$ -贝蒂数。
英文摘要：
Recently Dicks-Linnell determined the $L^2$-Betti numbers of the orientable surface-plus-one-relation groups, and their arguments involved some results that were obtained topologically by Hempel and Howie. Using algebraic arguments, we now extend all these results of Hempel and Howie to a larger class of two-relator groups, and we then apply the extended results to determine the $L^2$-Betti numbers of the non-orientable surface-plus-one-relation groups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
