On certain equations of arbitrary length over torsion-free groups

التفاصيل البيبلوغرافية
العنوان: On certain equations of arbitrary length over torsion-free groups
المؤلفون: Anwar, M. Fazeel, Bibi, M., Iqbal, S.
سنة النشر: 2019
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Group Theory, Mathematics - Geometric Topology
الوصف: Let $G$ be a non-trivial torsion free group and $t$ be an unknown. In this paper we consider three equations (over $G$) of arbitrary length and show that they have a solution (over $G$) provided two relations among their coefficients hold. Such equations appear for all lengths greater than or equal to eight and the results presented in this article can substantially simplify their solution.
Comment: Error found in one of the main theorems
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1903.07710
رقم الأكسشن: edsarx.1903.07710
قاعدة البيانات: arXiv