In this paper we introduce the special rank for virtual knots and some properties of this number are studied. Although we do not know if it can be considered as a nontrivial extension of the meridional rank given by [H. U. Boden and A. I. Gaudreau, Bridge number for virtual and welded knots, J. Knot Theory Ramifications 24 (2015), Article ID: 1550008] and by [M. Boileau and B. Zimmermann, The [Formula: see text]-orbifold group of a link, Math. Z. 200 (1989) 187–208], we prove that classical knots with special rank [Formula: see text] are [Formula: see text]-bridge knots. Therefore, a modified version of the so called Cappell and Shaneson conjecture could be considered.

中文翻译：

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虚结群的特殊等级

在本文中，我们介绍了虚拟结的特殊秩，并研究了这个数的一些性质。虽然我们不知道它是否可以被视为 [HU Boden 和 AI Gaudreau，虚拟和焊接结的桥号，J. Knot Theory Ramifications 24 (2015)，文章 ID：1550008] 给出的经向等级的重要扩展并由 [M. Boileau 和 B. Zimmermann，链接的 [公式：见文本]-orbifold 群，数学。Z. 200 (1989) 187–208]，我们证明了具有特殊等级的经典结[公式：见文本]是[公式：见文本]-桥结。因此，可以考虑对所谓的 Cappell 和 Shaneson 猜想进行修改。