Solving equations of length seven over torsion-free groups
نویسندگان
چکیده
منابع مشابه
Equations over Torsion-free Groups Summary Klyachko's Methods and the Solution of Equations over Torsion-free Groups
SUMMARY The question we are concerned with here is the following : Let G be a torsion-free group and consider the free product Ghti of G with an innnite cyclic group (generator t). Let w be an element of Ghti?G and hhwii denote the normal closure of w in G hti, then is the natural homomorphism G ! G hti hhwii injective? Klyachko's paper : \Funny property of sphere and equations over groups" Kl]...
متن کاملThe adjunction problem over torsion-free groups.
We prove injectivity and relative asphericity for "layered" systems of equations over torsion-free groups, when the exponent matrix is invertible over Z.
متن کامل-torsion free Acts Over Monoids
In this paper firt of all we introduce a generalization of torsion freeness of acts over monoids, called -torsion freeness. Then in section 1 of results we give some general properties and in sections 2, 3 and 4 we give a characterization of monoids for which this property of their right Rees factor, cyclic and acts in general implies some other properties, respectively.
متن کاملSolving equations in free nilpotent groups
In this paper we show that any system of equations over a free nilpotent group of class c is either unitary or nullary. In fact, such a system either has a most general solution (akin to the most general solution of a system of linear diophantine equations), or every solution has a proper generalization. In principle we provide an algorithm for determining whether or not a most general solution...
متن کاملGeometry & Topology Monographs Characterisation of a Class of Equations with Solutions over Torsion-free Groups
We study equations over torsion-free groups in terms of their \t{shape" (the occurences of the variable t in the equation). A t{shape is good if any equation with that shape has a solution. It is an outstanding conjecture 5] that all t{shapes are good. In 2] we proved the conjecture for a large class of t{shapes called amenable. In 1] Cliiord and Goldstein characterised a class of good t{shapes...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2018
ISSN: 1433-5883,1435-4446
DOI: 10.1515/jgth-2017-0032