On one A.I. Mal’cev’s Question from the ”Kourovskaya Notebook”

It is shown that the derived subgroup of the free group is not first-oder definable.

Bibliographic Details
Main Author: V. G. Durnev
Format: Article
Language:English
Published: Yaroslavl State University 2015-02-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/42
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spelling doaj-fa60e3933f8e40bf9ba2edde677c4d9e2021-07-29T08:15:20ZengYaroslavl State UniversityModelirovanie i Analiz Informacionnyh Sistem1818-10152313-54172015-02-01194677110.18255/1818-1015-2012-4-67-7136On one A.I. Mal’cev’s Question from the ”Kourovskaya Notebook”V. G. Durnev0Ярославский государственный университет им. П.Г. ДемидоваIt is shown that the derived subgroup of the free group is not first-oder definable.https://www.mais-journal.ru/jour/article/view/42free groupderived subgroupfirst-oder definable subgroup
collection DOAJ
language English
format Article
sources DOAJ
author V. G. Durnev
spellingShingle V. G. Durnev
On one A.I. Mal’cev’s Question from the ”Kourovskaya Notebook”
Modelirovanie i Analiz Informacionnyh Sistem
free group
derived subgroup
first-oder definable subgroup
author_facet V. G. Durnev
author_sort V. G. Durnev
title On one A.I. Mal’cev’s Question from the ”Kourovskaya Notebook”
title_short On one A.I. Mal’cev’s Question from the ”Kourovskaya Notebook”
title_full On one A.I. Mal’cev’s Question from the ”Kourovskaya Notebook”
title_fullStr On one A.I. Mal’cev’s Question from the ”Kourovskaya Notebook”
title_full_unstemmed On one A.I. Mal’cev’s Question from the ”Kourovskaya Notebook”
title_sort on one a.i. mal’cev’s question from the ”kourovskaya notebook”
publisher Yaroslavl State University
series Modelirovanie i Analiz Informacionnyh Sistem
issn 1818-1015
2313-5417
publishDate 2015-02-01
description It is shown that the derived subgroup of the free group is not first-oder definable.
topic free group
derived subgroup
first-oder definable subgroup
url https://www.mais-journal.ru/jour/article/view/42
work_keys_str_mv AT vgdurnev ononeaimalcevsquestionfromthekourovskayanotebook
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