Primitive elements and automorphisms of the free metabelian group of rank 3
نویسندگان
چکیده
منابع مشابه
Generalized Primitive Elements of a Free Group
We study endomorphisms of a free group of finite rank by means of their action on specific sets of elements. In particular, we prove that every endomorphism of the free group of rank 2 which preserves an automorphic orbit (i.e., acts “like an automorphism” on one particular orbit), is itself an automorphism. Then, we consider elements of a different nature, defined by means of homological prope...
متن کاملAlgorithmic Constructions and Primitive Elements in the Free Group of Rank 2
The centrepiece of this paper is a normal form for primitive elements which facilitates the use of induction arguments to prove properties of primitive elements. The normal form arises from an elementary algorithm for constructing a primitive element p in F(x, y) with a given exponent sum pair (X, Y ), if such an element p exists. Several results concerning the primitive elements of F(x, y) are...
متن کاملAutomorphisms of a Free Group of Infinite Rank
The problem of classifying the automorphisms of a free group of infinite countable rank is investigated. Quite a reasonable generating set for the group AutF∞ is described. Some new subgroups of this group and structural results for them are presented. The main result says that the group of all automorphisms is generated (modulo the IA-automorphisms) by strings and lower triangular automorphisms.
متن کاملfaculty of psychology and social sciences group of anthropology master thesis in major of anthropology
چکیده پایان نامه (شامل خلاصه، اهداف، روش های اجرا و نتایج به دست آمده): کار جمع آوری گو یش های محلی در سال های اخیر شتاب امیدوار کننده ای به خود گرفته است. شاید از بارزترین اهداف جمع آوری گویش های مختلف، ثبت و ضبط آن، جلوگیری از نابودی و مهمتر از همه حل مشکلات دستوری زبان رسمی باشد. دقت در فرآیند های زبانی گویش های محلی نوع ارتباط مردم نواحی مختلف با پیرامون نشان را به ما نشان خواهد داد. از س...
construction and validation of the translation teacher competency test and the scale of students’ perceptions of translation teachers
the major purpose of this study was to develop the translation teacher competency test (ttct) and examine its construct and predictive validity. the present study was conducted in two phases: a qualitative phase as well as a quantitative phase. in the first phase of the study, the author attempted to find out the major areas of competency required for an academic translation teacher. the second...
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ژورنال
عنوان ژورنال: Sibirskie Elektronnye Matematicheskie Izvestiya
سال: 2020
ISSN: 1813-3304
DOI: 10.33048/semi.2020.17.006