某些群体的指标较高，
Higher indicators for some groups and their doubles
摘要：
本文明确地确定了同构于两个循环群的一个素数阶自同构的半直积的群以及广义四元数群的所有指标。然后，我们计算这些组的Drinfel'd双打的指标。第一类群包括二面体群、$pq$阶非阿贝尔群和半二面体群.我们发现，指标都是整数，与负整数是可能的第一家庭，只有在某些特定的条件下。
英文摘要：
In this paper we explicitly determine all indicators for groups isomorphic to the semidirect product of two cyclic groups by an automorphism of prime order, as well as the generalized quaternion groups. We then compute the indicators for the Drinfel'd doubles of these groups. This first family of groups includes the dihedral groups, the non-abelian groups of order $pq$, and the semidihedral groups. We find that the indicators are all integers, with negative integers being possible in the first family only under certain specific conditions.
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。
