Rationality of Verbal Subsets in Solvable Groups
- Авторлар: Roman’kov V.A.1
-
Мекемелер:
- Dostoevskii Omsk State University
- Шығарылым: Том 57, № 1 (2018)
- Беттер: 39-48
- Бөлім: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234072
- DOI: https://doi.org/10.1007/s10469-018-9477-6
- ID: 234072
Дәйексөз келтіру
Аннотация
A verbal subset of a group G is a set w[G] of all values of a group word w in this group. We consider the question whether verbal subsets of solvable groups are rational in the sense of formal language theory. It is proved that every verbal subset w[N] of a finitely generated nilpotent group N with respect to a word w with positive exponent is rational. Also we point out examples of verbal subsets of finitely generated metabelian groups that are not rational.
Негізгі сөздер
Авторлар туралы
V. Roman’kov
Dostoevskii Omsk State University
Хат алмасуға жауапты Автор.
Email: romankov48@mail.ru
Ресей, pr. Mira 55-A, Omsk, 644077
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