Structure and Automorphisms of Some Cyclic Extensions of Free Groups Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2026, Volume: 67, Number: 4, Pages: 890-895 Pages count : 6 DOI: 10.1134/s0037446626040130 | ||
| Tags | free group, split cyclic extension, outer automorphism group, torus knot group | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 24-11-00119 |
Abstract:
We consider torus knot groups that are defined by two generators and a relation between them. Given a pair of coprime integers, we show how to represent such a group as a cyclic extension of a free group. This is achieved by finding a generating set for the free group and finding the required
automorphism. The result obtained makes it possible to study automorphisms of such cyclic extensions by studying automorphisms of torus knot groups.
Cite:
Shaporina E.A.
Structure and Automorphisms of Some Cyclic Extensions of Free Groups
Siberian Mathematical Journal. 2026. V.67. N4. P.890-895. DOI: 10.1134/s0037446626040130 WOS Scopus РИНЦ OpenAlex
Structure and Automorphisms of Some Cyclic Extensions of Free Groups
Siberian Mathematical Journal. 2026. V.67. N4. P.890-895. DOI: 10.1134/s0037446626040130 WOS Scopus РИНЦ OpenAlex
Original:
Шапорина Е.А.
Структура и автоморфизмы некоторых циклических расширений свободных групп
Сибирский математический журнал. 2026. Т.67. №4. С.744-750. DOI: 10.33048/smzh.2026.67.413 РИНЦ
Структура и автоморфизмы некоторых циклических расширений свободных групп
Сибирский математический журнал. 2026. Т.67. №4. С.744-750. DOI: 10.33048/smzh.2026.67.413 РИНЦ
Dates:
| Submitted: | Jun 3, 2025 |
| Accepted: | Feb 14, 2026 |
| Published online: | Jul 30, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001837323400009 |
| ≡ Scopus: | 2-s2.0-105046024220 |
| ≡ Elibrary: | 91863800 |
| ≡ OpenAlex: | W7171787083 |