一类全正交群的二重数的高指标
Higher Indicators for the Doubles of some Totally Orthogonal Groups
摘要：
我们研究了$\BZ_k\rtimes D_l$及其对偶形式的某些群的指标，其中$D_l$是$2l$阶的二面体群。随后，我们得到了一个完全正交的，完全真实的群，这是由对合生成的无限家庭，其双打承认第二个指标为-1的模。这为我们提供了关于完全正交有限群的二重群的几个问题的答案。
英文摘要：
We investigate the indicators for certain groups of the form $\BZ_k\rtimes D_l$ and their doubles, where $D_l$ is the dihedral group of order $2l$. We subsequently obtain an infinite family of totally orthogonal, completely real groups which are generated by involutions, and whose doubles admit modules with second indicator of -1. This provides us with answers to several questions concerning the doubles of totally orthogonal finite 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。
