具有自由群元的Baumslag-Pride群中子群的有效指数
Effective indices of subgroups in Baumslag--Pride groups with free quotients
摘要：
对于一个生成元比关系至少多两个的群，给出了具有非交换自由商的子群的极小指数的一个有效估计。我们表明，该指数是有界的关系词的长度的多项式。我们还提供了一个下界的指数。
英文摘要：
Given a group with at least two more generators than relations, we give an effective estimate on the minimal index of a subgroup with a nonabelian free quotient. We show that the index is bounded by a polynomial in the length of the relator word. We also provide a lower bound on the index.
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